| TAVOLA DEI NUMERI PRIMI MINORI DI 5000 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541 547 557 563 569 571 577 587 593 599 601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691 701 709 719 727 733 739 743 751 757 761 769 773 787 797 809 811 821 823 827 829 839 853 857 859 863 877 881 883 887 907 911 919 929 937 941 947 953 967 971 977 983 991 997 1009 1013 1019 1021 1031 1033 1039 1049 1051 1061 1063 1069 1087 1091 1093 1097 1103 1109 1117 1123 1129 1151 1153 1163 1171 1181 1187 1193 1201 1213 1217 1223 1229 1231 1237 1249 1259 1277 1279 1283 1289 1291 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373 1381 1399 1409 1423 1427 1429 1433 1439 1447 1451 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511 1523 1531 1543 1549 1553 1559 1567 1571 1579 1583 1597 1601 1607 1609 1613 1619 1621 1627 1637 1657 1663 1667 1669 1693 1697 1699 1709 1721 1723 1733 1741 1747 1753 1759 1777 1783 1787 1789 1801 1811 1823 1831 1847 1861 1867 1871 1873 1877 1879 1889 1901 1907 1913 1931 1933 1949 1951 1973 1979 1987 1993 1997 1999 2003 2011 2017 2027 2029 2039 2053 2063 2069 2081 2083 2087 2089 2099 2111 2113 2129 2131 2137 2141 2143 2153 2161 2179 2203 2207 2213 2221 2237 2239 2243 2251 2267 2269 2273 2281 2287 2293 2297 2309 2311 2333 2339 2341 2347 2351 2357 2371 2377 2381 2383 2389 2393 2399 2411 2417 2423 2437 2441 2447 2459 2467 2473 2477 2503 2521 2531 2539 2543 2549 2551 2557 2579 2591 2593 2609 2617 2621 2633 2647 2657 2659 2663 2671 2677 2683 2687 2689 2693 2699 2707 2711 2713 2719 2729 2731 2741 2749 2753 2767 2777 2789 2791 2797 2801 2803 2819 2833 2837 2843 2851 2857 2861 2879 2887 2897 2903 2909 2917 2927 2939 2953 2957 2963 2969 2971 2999 3001 3011 3019 3023 3037 3041 3049 3061 3067 3079 3083 3089 3109 3119 3121 3137 3163 3167 3169 3181 3187 3191 3203 3209 3217 3221 3229 3251 3253 3257 3259 3271 3299 3301 3307 3313 3319 3323 3329 3331 3343 3347 3359 3361 3371 3373 3389 3391 3407 3413 3433 3449 3457 3461 3463 3467 3469 3491 3499 3511 3517 3527 3529 3533 3539 3541 3547 3557 3559 3571 3581 3583 3593 3607 3613 3617 3623 3631 3637 3643 3659 3671 3673 3677 3691 3697 3701 3709 3719 3727 3733 3739 3761 3767 3769 3779 3793 3797 3803 3821 3823 3833 3847 3851 3853 3863 3877 3881 3889 3907 3911 3917 3919 3923 3929 3931 3943 3947 3967 3989 4001 4003 4007 4013 4019 4021 4027 4049 4051 4057 4073 4079 4091 4093 4099 4111 4127 4129 4133 4139 4153 4157 4159 4177 4201 4211 4217 4219 4229 4231 4241 4243 4253 4259 4261 4271 4273 4283 4289 4297 4327 4337 4339 4349 4357 4363 4373 4391 4397 4409 4421 4423 4441 4447 4451 4457 4463 4481 4483 4493 4507 4513 4517 4519 4523 4547 4549 4561 4567 4583 4591 4597 4603 4621 4637 4639 4643 4649 4651 4657 4663 4673 4679 4691 4703 4721 4723 4729 4733 4751 4759 4783 4787 4789 4793 4799 4801 4813 4817 4831 4861 4871 4877 4889 4903 4909 4919 4931 4933 4937 4943 4951 4957 4967 4969 4973 4987 4993 4999 Tavole 2
TAVOLE DEI QUADRATI, DEI CUBI, RADICI QUADRATE E CUBICHE DEI PRIMI MILLE NUMERI NATURALI Tavole 3 1 1 1 1,0000 1,0000 2 4 8 1,4142 1,2599 3 9 27 1,7321 1,4422 4 16 64 2,0000 1,5874 5 25 125 2,2361 1,7100 6 36 216 2,4495 1,8171 7 49 343 2,6458 1,9129 8 64 512 2,8284 2,0000 9 81 729 3,0000 2,0801 10 100 1000 3,1623 2,1544 11 121 1331 3,3166 2,2240 12 144 1728 3,4641 2,2894 13 169 2197 3,6056 2,3513 14 196 2744 3,7417 2,4101 15 225 3375 3,8730 2,4662 16 256 4096 4,0000 2,5198 17 289 4913 4,1231 2,5713 18 324 5832 4,2426 2,6207 19 361 6859 4,3589 2,6684 20 400 8000 4,4721 2,7144 21 441 9261 4,5826 2,7589 22 484 10648 4,6904 2,8020 23 529 12167 4,7958 2,8439 24 576 13824 4,8990 2,8845 25 625 15625 5,0000 2,9240 26 676 17576 5,0990 2,9625 27 729 19683 5,1962 3,0000 28 784 21952 5,2915 3,0366 29 841 24389 5,3852 3,0723 30 900 27000 5,4772 3,1072 31 961 29791 5,5678 3,1414 32 1024 32768 5,6569 3,1748 33 1089 35937 5,7446 3,2075 34 1156 39304 5,8310 3,2396 35 1225 42875 5,9161 3,2711 36 1296 46656 6,0000 3,3019 37 1369 50653 6,0828 3,3322 38 1444 54872 6,1644 3,3620 39 1521 59319 6,2450 3,3912 40 1600 64000 6,3246 3,4200 41 1681 68921 6,4031 3,4482 42 1764 74088 6,4807 3,4760 43 1849 79507 6,5574 3,5034 44 1936 85184 6,6333 3,5303 45 2025 91125 6,7082 3,5569 46 2116 97336 6,7823 3,5830 47 2209 103823 6,8557 3,6088 48 2304 110592 6,9282 3,6342 49 2401 117649 7,0000 3,6593 50 2500 125000 7,0711 3,6840 51 2601 132651 7,1414 3,7084 52 2704 140608 7,2111 3,7325 53 2809 148877 7,2801 3,7563 54 2916 157464 7,3485 3,7798 55 3025 166375 7,4162 3,8030 56 3136 175616 7,4833 3,8259 57 3249 185193 7,5498 3,8485 58 3364 195112 7,6158 3,8709 59 3481 205379 7,6811 3,8930 60 3600 216000 7,7460 3,9149 n n2 n3 n 3 n 61 3721 226981 7,8103 3,9365 62 3844 238328 7,8740 3,9579 63 3969 250047 7,9373 3,9791 64 4096 262144 8,0000 4,0000 65 4225 274625 8,0623 4,0207 66 4356 287496 8,1240 4,0412 67 4489 300763 8,1854 4,0615 68 4624 314432 8,2462 4,0817 69 4761 328509 8,3066 4,1016 70 4900 343000 8,3666 4,1213 71 5041 357911 8,4261 4,1408 72 5184 373248 8,4853 4,1602 73 5329 389017 8,5440 4,1793 74 5476 405224 8,6023 4,1983 75 5625 421875 8,6603 4,2172 76 5776 438976 8,7178 4,2358 77 5929 456533 8,7750 4,2543 78 6084 474552 8,8318 4,2727 79 6241 493039 8,8882 4,2908 80 6400 512000 8,9443 4,3089 81 6561 531441 9,0000 4,3267 82 6724 551368 9,0554 4,3445 83 6889 571787 9,1104 4,3621 84 7056 592704 9,1652 4,3795 85 7225 614125 9,2195 4,3968 86 7396 636056 9,2736 4,4140 87 7569 658503 9,3274 4,4310 88 7744 681472 9,3808 4,4480 89 7921 704969 9,4340 4,4647 90 8100 729000 9,4868 4,4814 91 8281 753571 9,5394 4,4979 92 8464 778688 9,5917 4,5144 93 8649 804357 9,6437 4,5307 94 8836 830584 9,6954 4,5468 95 9025 857375 9,7468 4,5629 96 9216 884736 9,7980 4,5789 97 9409 912673 9,8489 4,5947 98 9604 941192 9,8995 4,6104 99 9801 970299 9,9499 4,6261 100 10000 1000000 10,0000 4,6416 101 10201 1030301 10,0499 4,6570 102 10404 1061208 10,0995 4,6723 103 10609 1092727 10,1489 4,6875 104 10816 1124864 10,1980 4,7027 105 11025 1157625 10,2470 4,7177 106 11236 1191016 10,2956 4,7326 107 11449 1225043 10,3441 4,7475 108 11664 1259712 10,3923 4,7622 109 11881 1295029 10,4403 4,7769 110 12100 1331000 10,4881 4,7914 111 12321 1367631 10,5357 4,8059 112 12544 1404928 10,5830 4,8203 113 12769 1442897 10,6301 4,8346 114 12996 1481544 10,6771 4,8488 115 13225 1520875 10,7238 4,8629 116 13456 1560896 10,7703 4,8770 117 13689 1601613 10,8167 4,8910 118 13924 1643032 10,8628 4,9049 119 14161 1685159 10,9087 4,9187 120 14400 1728000 10,9545 4,9324
Tavole 4 121 14641 1771561 11,0000 4,9461 122 14884 1815848 11,0454 4,9597 123 15129 1860867 11,0905 4,9732 124 15376 1906624 11,1355 4,9866 125 15625 1953125 11,1803 5,0000 126 15876 2000376 11,2250 5,0133 127 16129 2048383 11,2694 5,0265 128 16384 2097152 11,3137 5,0397 129 16641 2146689 11,3578 5,0528 130 16900 2197000 11,4018 5,0658 131 17161 2248091 11,4455 5,0788 132 17424 2299968 11,4891 5,0916 133 17689 2352637 11,5326 5,1045 134 17956 2406104 11,5758 5,1172 135 18225 2460375 11,6190 5,1299 136 18496 2515456 11,6619 5,1426 137 18769 2571353 11,7047 5,1551 138 19044 2628072 11,7473 5,1676 139 19321 2685619 11,7898 5,1801 140 19600 2744000 11,8322 5,1925 141 19881 2803221 11,8743 5,2048 142 20164 2863288 11,9164 5,2171 143 20449 2924207 11,9583 5,2293 144 20736 2985984 12,0000 5,2415 145 21025 3048625 12,0416 5,2536 146 21316 3112136 12,0830 5,2656 147 21609 3176523 12,1244 5,2776 148 21904 3241792 12,1655 5,2896 149 22201 3307949 12,2066 5,3015 150 22500 3375000 12,2474 5,3133 151 22801 3442951 12,2882 5,3251 152 23104 3511808 12,3288 5,3368 153 23409 3581577 12,3693 5,3485 154 23716 3652264 12,4097 5,3601 155 24025 3723875 12,4499 5,3717 156 24336 3796416 12,4900 5,3832 157 24649 3869893 12,5300 5,3947 158 24964 3944312 12,5698 5,4061 159 25281 4019679 12,6095 5,4175 160 25600 4096000 12,6491 5,4288 161 25921 4173281 12,6886 5,4401 162 26244 4251528 12,7279 5,4514 163 26569 4330747 12,7671 5,4626 164 26896 4410944 12,8062 5,4737 165 27225 4492125 12,8452 5,4848 166 27556 4574296 12,8841 5,4959 167 27889 4657463 12,9228 5,5069 168 28224 4741632 12,9615 5,5178 169 28561 4826809 13,0000 5,5288 170 28900 4913000 13,0384 5,5397 171 29241 5000211 13,0767 5,5505 172 29584 5088448 13,1149 5,5613 173 29929 5177717 13,1529 5,5721 174 30276 5268024 13,1909 5,5828 175 30625 5359375 13,2288 5,5934 176 30976 5451776 13,2665 5,6041 177 31329 5545233 13,3041 5,6147 178 31684 5639752 13,3417 5,6252 179 32041 5735339 13,3791 5,6357 180 32400 5832000 13,4164 5,6462 181 32761 5929741 13,4536 5,6567 182 33124 6028568 13,4907 5,6671 183 33489 6128487 13,5277 5,6774 184 33856 6229504 13,5647 5,6877 185 34225 6331625 13,6015 5,6980 186 34596 6434856 13,6382 5,7083 187 34969 6539203 13,6748 5,7185 188 35344 6644672 13,7113 5,7287 189 35721 6751269 13,7477 5,7388 190 36100 6859000 13,7840 5,7489 n n2 n3 n 3 n 191 36481 6967871 13,8203 5,7590 192 36864 7077888 13,8564 5,7690 193 37249 7189057 13,8924 5,7790 194 37636 7301384 13,9284 5,7890 195 38025 7414875 13,9642 5,7989 196 38416 7529536 14,0000 5,8088 197 38809 7645373 14,0357 5,8186 198 39204 7762392 14,0712 5,8285 199 39601 7880599 14,1067 5,8383 200 40000 8000000 14,1421 5,8480 201 40401 8120601 14,1774 5,8578 202 40804 8242408 14,2127 5,8675 203 41209 8365427 14,2478 5,8771 204 41616 8489664 14,2829 5,8868 205 42025 8615125 14,3178 5,8964 206 42436 8741816 14,3527 5,9059 207 42849 8869743 14,3875 5,9155 208 43264 8998912 14,4222 5,9250 209 43681 9129329 14,4568 5,9345 210 44100 9261000 14,4914 5,9439 211 44521 9393931 14,5258 5,9533 212 44944 9528128 14,5602 5,9627 213 45369 9663597 14,5945 5,9721 214 45796 9800344 14,6287 5,9814 215 46225 9938375 14,6629 5,9907 216 46656 10077696 14,6969 6,0000 217 47089 10218313 14,7309 6,0092 218 47524 10360232 14,7648 6,0185 219 47961 10503459 14,7986 6,0277 220 48400 10648000 14,8324 6,0368 221 48841 10793861 14,8661 6,0459 222 49284 10941048 14,8997 6,0550 223 49729 11089567 14,9332 6,0641 224 50176 11239424 14,9666 6,0732 225 50625 11390625 15,0000 6,0822 226 51076 11543176 15,0333 6,0912 227 51529 11697083 15,0665 6,1002 228 51984 11852352 15,0997 6,1091 229 52441 12008989 15,1327 6,1180 230 52900 12167000 15,1658 6,1269 231 53361 12326391 15,1987 6,1358 232 53824 12487168 15,2315 6,1446 233 54289 12649337 15,2643 6,1534 234 54756 12812904 15,2971 6,1622 235 55225 12977875 15,3297 6,1710 236 55696 13144256 15,3623 6,1797 237 56169 13312053 15,3948 6,1885 238 56644 13481272 15,4272 6,1972 239 57121 13651919 15,4596 6,2058 240 57600 13824000 15,4919 6,2145 241 58081 13997521 15,5242 6,2231 242 58564 14172488 15,5563 6,2317 243 59049 14348907 15,5885 6,2403 244 59536 14526784 15,6205 6,2488 245 60025 14706125 15,6525 6,2573 246 60516 14886936 15,6844 6,2658 247 61009 15069223 15,7162 6,2743 248 61504 15252992 15,7480 6,2828 249 62001 15438249 15,7797 6,2912 250 62500 15625000 15,8114 6,2996 251 63001 15813251 15,8430 6,3080 252 63504 16003008 15,8745 6,3164 253 64009 16194277 15,9060 6,3247 254 64516 16387064 15,9374 6,3330 255 65025 16581375 15,9687 6,3413 256 65536 16777216 16,0000 6,3496 257 66049 16974593 16,0312 6,3579 258 66564 17173512 16,0624 6,3661 259 67081 17373979 16,0935 6,3743 260 67600 17576000 16,1245 6,3825 n n2 n3 n 3 n Tavole 5 261 68121 17779581 16,1555 6,3907 262 68644 17984728 16,1864 6,3988 263 69169 18191447 16,2173 6,4070 264 69696 18399744 16,2481 6,4151 265 70225 18609625 16,2788 6,4232 266 70756 18821096 16,3095 6,4312 267 71289 19034163 16,3401 6,4393 268 71824 19248832 16,3707 6,4473 269 72361 19465109 16,4012 6,4553 270 72900 19683000 16,4317 6,4633 271 73441 19902511 16,4621 6,4713 272 73984 20123648 16,4924 6,4792 273 74529 20346417 16,5227 6,4872 274 75076 20570824 16,5529 6,4951 275 75625 20796875 16,5831 6,5030 276 76176 21024576 16,6132 6,5108 277 76729 21253933 16,6433 6,5187 278 77284 21484952 16,6733 6,5265 279 77841 21717639 16,7033 6,5343 280 78400 21952000 16,7332 6,5421 281 78961 22188041 16,7631 6,5499 282 79524 22425768 16,7929 6,5577 283 80089 22665187 16,8226 6,5654 284 80656 22906304 16,8523 6,5731 285 81225 23149125 16,8819 6,5808 286 81796 23393656 16,9115 6,5885 287 82369 23639903 16,9411 6,5962 288 82944 23887872 16,9706 6,6039 289 83521 24137569 17,0000 6,6115 290 84100 24389000 17,0294 6,6191 291 84681 24642171 17,0587 6,6267 292 85264 24897088 17,0880 6,6343 293 85849 25153757 17,1172 6,6419 294 86436 25412184 17,1464 6,6494 295 87025 25672375 17,1756 6,6569 296 87616 25934336 17,2047 6,6644 297 88209 26198073 17,2337 6,6719 298 88804 26463592 17,2627 6,6794 299 89401 26730899 17,2916 6,6869 300 90000 27000000 17,3205 6,6943 301 90601 27270901 17,3494 6,7018 302 91204 27543608 17,3781 6,7092 303 91809 27818127 17,4069 6,7166 304 92416 28094464 17,4356 6,7240 305 93025 28372625 17,4642 6,7313 306 93636 28652616 17,4929 6,7387 307 94249 28934443 17,5214 6,7460 308 94864 29218112 17,5499 6,7533 309 95481 29503629 17,5784 6,7606 310 96100 29791000 17,6068 6,7679 311 96721 30080231 17,6352 6,7752 312 97344 30371328 17,6635 6,7824 313 97969 30664297 17,6918 6,7897 314 98596 30959144 17,7200 6,7969 315 99225 31255875 17,7482 6,8041 316 99856 31554496 17,7764 6,8113 317 100489 31855013 17,8045 6,8185 318 101124 32157432 17,8326 6,8256 319 101761 32461759 17,8606 6,8328 320 102400 32768000 17,8885 6,8399 321 103041 33076161 17,9165 6,8470 322 103684 33386248 17,9444 6,8541 323 104329 33698267 17,9722 6,8612 324 104976 34012224 18,0000 6,8683 325 105625 34328125 18,0278 6,8753 326 106276 34645976 18,0555 6,8824 327 106929 34965783 18,0831 6,8894 328 107584 35287552 18,1108 6,8964 329 108241 35611289 18,1384 6,9034 330 108900 35937000 18,1659 6,9104 n n2 n3 n 3 n 331 109561 36264691 18,1934 6,9174 332 110224 36594368 18,2209 6,9244 333 110889 36926037 18,2483 6,9313 334 111556 37259704 18,2757 6,9382 335 112225 37595375 18,3030 6,9451 336 112896 37933056 18,3303 6,9521 337 113569 38272753 18,3576 6,9589 338 114244 38614472 18,3848 6,9658 339 114921 38958219 18,4120 6,9727 340 115600 39304000 18,4391 6,9795 341 116281 39651821 18,4662 6,9864 342 116964 40001688 18,4932 6,9932 343 117649 40353607 18,5203 7,0000 344 118336 40707584 18,5472 7,0068 345 119025 41063625 18,5742 7,0136 346 119716 41421736 18,6011 7,0203 347 120409 41781923 18,6279 7,0271 348 121104 42144192 18,6548 7,0338 349 121801 42508549 18,6815 7,0406 350 122500 42875000 18,7083 7,0473 351 123201 43243551 18,7350 7,0540 352 123904 43614208 18,7617 7,0607 353 124609 43986977 18,7883 7,0674 354 125316 44361864 18,8149 7,0740 355 126025 44738875 18,8414 7,0807 356 126736 45118016 18,8680 7,0873 357 127449 45499293 18,8944 7,0940 358 128164 45882712 18,9209 7,1006 359 128881 46268279 18,9473 7,1072 360 129600 46656000 18,9737 7,1138 361 130321 47045881 19,0000 7,1204 362 131044 47437928 19,0263 7,1269 363 131769 47832147 19,0526 7,1335 364 132496 48228544 19,0788 7,1400 365 133225 48627125 19,1050 7,1466 366 133956 49027896 19,1311 7,1531 367 134689 49430863 19,1572 7,1596 368 135424 49836032 19,1833 7,1661 369 136161 50243409 19,2094 7,1726 370 136900 50653000 19,2354 7,1791 371 137641 51064811 19,2614 7,1855 372 138384 51478848 19,2873 7,1920 373 139129 51895117 19,3132 7,1984 374 139876 52313624 19,3391 7,2048 375 140625 52734375 19,3649 7,2112 376 141376 53157376 19,3907 7,2177 377 142129 53582633 19,4165 7,2240 378 142884 54010152 19,4422 7,2304 379 143641 54439939 19,4679 7,2368 380 144400 54872000 19,4936 7,2432 381 145161 55306341 19,5192 7,2495 382 145924 55742968 19,5448 7,2558 383 146689 56181887 19,5704 7,2622 384 147456 56623104 19,5959 7,2685 385 148225 57066625 19,6214 7,2748 386 148996 57512456 19,6469 7,2811 387 149769 57960603 19,6723 7,2874 388 150544 58411072 19,6977 7,2936 389 151321 58863869 19,7231 7,2999 390 152100 59319000 19,7484 7,3061 391 152881 59776471 19,7737 7,3124 392 153664 60236288 19,7990 7,3186 393 154449 60698457 19,8242 7,3248 394 155236 61162984 19,8494 7,3310 395 156025 61629875 19,8746 7,3372 396 156816 62099136 19,8997 7,3434 397 157609 62570773 19,9249 7,3496 398 158404 63044792 19,9499 7,3558 399 159201 63521199 19,9750 7,3619 400 160000 64000000 20,0000 7,3681 n n2 n3 n 3 n Tavole 6 401 160801 64481201 20,0250 7,3742 402 161604 64964808 20,0499 7,3803 403 162409 65450827 20,0749 7,3864 404 163216 65939264 20,0998 7,3925 405 164025 66430125 20,1246 7,3986 406 164836 66923416 20,1494 7,4047 407 165649 67419143 20,1742 7,4108 408 166464 67917312 20,1990 7,4169 409 167281 68417929 20,2237 7,4229 410 168100 68921000 20,2485 7,4290 411 168921 69426531 20,2731 7,4350 412 169744 69934528 20,2978 7,4410 413 170569 70444997 20,3224 7,4470 414 171396 70957944 20,3470 7,4530 415 172225 71473375 20,3716 7,4590 416 173056 71991296 20,3961 7,4650 417 173889 72511713 20,4206 7,4710 418 174724 73034632 20,4450 7,4770 419 175561 73560059 20,4695 7,4829 420 176400 74088000 20,4939 7,4889 421 177241 74618461 20,5183 7,4948 422 178084 75151448 20,5426 7,5007 423 178929 75686967 20,5670 7,5067 424 179776 76225024 20,5913 7,5126 425 180625 76765625 20,6155 7,5185 426 181476 77308776 20,6398 7,5244 427 182329 77854483 20,6640 7,5302 428 183184 78402752 20,6882 7,5361 429 184041 78953589 20,7123 7,5420 430 184900 79507000 20,7364 7,5478 431 185761 80062991 20,7605 7,5537 432 186624 80621568 20,7846 7,5595 433 187489 81182737 20,8087 7,5654 434 188356 81746504 20,8327 7,5712 435 189225 82312875 20,8567 7,5770 436 190096 82881856 20,8806 7,5828 437 190969 83453453 20,9045 7,5886 438 191844 84027672 20,9285 7,5944 439 192721 84604519 20,9523 7,6001 440 193600 85184000 20,9762 7,6059 441 194481 85766121 21,0000 7,6117 442 195364 86350888 21,0238 7,6174 443 196249 86938307 21,0476 7,6232 444 197136 87528384 21,0713 7,6289 445 198025 88121125 21,0950 7,6346 446 198916 88716536 21,1187 7,6403 447 199809 89314623 21,1424 7,6460 448 200704 89915392 21,1660 7,6517 449 201601 90518849 21,1896 7,6574 450 202500 91125000 21,2132 7,6631 451 203401 91733851 21,2368 7,6688 452 204304 92345408 21,2603 7,6744 453 205209 92959677 21,2838 7,6801 454 206116 93576664 21,3073 7,6857 455 207025 94196375 21,3307 7,6914 456 207936 94818816 21,3542 7,6970 457 208849 95443993 21,3776 7,7026 458 209764 96071912 21,4009 7,7082 459 210681 96702579 21,4243 7,7138 460 211600 97336000 21,4476 7,7194 461 212521 97972181 21,4709 7,7250 462 213444 98611128 21,4942 7,7306 463 214369 99252847 21,5174 7,7362 464 215296 99897344 21,5407 7,7418 465 216225 100544625 21,5639 7,7473 466 217156 101194696 21,5870 7,7529 467 218089 101847563 21,6102 7,7584 468 219024 102503232 21,6333 7,7639 469 219961 103161709 21,6564 7,7695 470 220900 103823000 21,6795 7,7750 n n2 n3 n 3 n 471 221841 104487111 21,7025 7,7805 472 222784 105154048 21,7256 7,7860 473 223729 105823817 21,7486 7,7915 474 224676 106496424 21,7715 7,7970 475 225625 107171875 21,7945 7,8025 476 226576 107850176 21,8174 7,8079 477 227529 108531333 21,8403 7,8134 478 228484 109215352 21,8632 7,8188 479 229441 109902239 21,8861 7,8243 480 230400 110592000 21,9089 7,8297 481 231361 111284641 21,9317 7,8352 482 232324 111980168 21,9545 7,8406 483 233289 112678587 21,9773 7,8460 484 234256 113379904 22,0000 7,8514 485 235225 114084125 22,0227 7,8568 486 236196 114791256 22,0454 7,8622 487 237169 115501303 22,0681 7,8676 488 238144 116214272 22,0907 7,8730 489 239121 116930169 22,1133 7,8784 490 240100 117649000 22,1359 7,8837 491 241081 118370771 22,1585 7,8891 492 242064 119095488 22,1811 7,8944 493 243049 119823157 22,2036 7,8998 494 244036 120553784 22,2261 7,9051 495 245025 121287375 22,2486 7,9105 496 246016 122023936 22,2711 7,9158 497 247009 122763473 22,2935 7,9211 498 248004 123505992 22,3159 7,9264 499 249001 124251499 22,3383 7,9317 500 250000 125000000 22,3607 7,9370 501 251001 125751501 22,3830 7,9423 502 252004 126506008 22,4054 7,9476 503 253009 127263527 22,4277 7,9528 504 254016 128024064 22,4499 7,9581 505 255025 128787625 22,4722 7,9634 506 256036 129554216 22,4944 7,9686 507 257049 130323843 22,5167 7,9739 508 258064 131096512 22,5389 7,9791 509 259081 131872229 22,5610 7,9843 510 260100 132651000 22,5832 7,9896 511 261121 133432831 22,6053 7,9948 512 262144 134217728 22,6274 8,0000 513 263169 135005697 22,6495 8,0052 514 264196 135796744 22,6716 8,0104 515 265225 136590875 22,6936 8,0156 516 266256 137388096 22,7156 8,0208 517 267289 138188413 22,7376 8,0260 518 268324 138991832 22,7596 8,0311 519 269361 139798359 22,7816 8,0363 520 270400 140608000 22,8035 8,0415 521 271441 141420761 22,8254 8,0466 522 272484 142236648 22,8473 8,0517 523 273529 143055667 22,8692 8,0569 524 274576 143877824 22,8910 8,0620 525 275625 144703125 22,9129 8,0671 526 276676 145531576 22,9347 8,0723 527 277729 146363183 22,9565 8,0774 528 278784 147197952 22,9783 8,0825 529 279841 148035889 23,0000 8,0876 530 280900 148877000 23,0217 8,0927 531 281961 149721291 23,0434 8,0978 532 283024 150568768 23,0651 8,1028 533 284089 151419437 23,0868 8,1079 534 285156 152273304 23,1084 8,1130 535 286225 153130375 23,1301 8,1180 536 287296 153990656 23,1517 8,1231 537 288369 154854153 23,1733 8,1281 538 289444 155720872 23,1948 8,1332 539 290521 156590819 23,2164 8,1382 540 291600 157464000 23,2379 8,1433 n n2 n3 n 3 n Tavole 7 541 292681 158340421 23,2594 8,1483 542 293764 159220088 23,2809 8,1533 543 294849 160103007 23,3024 8,1583 544 295936 160989184 23,3238 8,1633 545 297025 161878625 23,3452 8,1683 546 298116 162771336 23,3666 8,1733 547 299209 163667323 23,3880 8,1783 548 300304 164566592 23,4094 8,1833 549 301401 165469149 23,4308 8,1882 550 302500 166375000 23,4521 8,1932 551 303601 167284151 23,4734 8,1982 552 304704 168196608 23,4947 8,2031 553 305809 169112377 23,5160 8,2081 554 306916 170031464 23,5372 8,2130 555 308025 170953875 23,5584 8,2180 556 309136 171879616 23,5797 8,2229 557 310249 172808693 23,6008 8,2278 558 311364 173741112 23,6220 8,2327 559 312481 174676879 23,6432 8,2377 560 313600 175616000 23,6643 8,2426 561 314721 176558481 23,6854 8,2475 562 315844 177504328 23,7065 8,2524 563 316969 178453547 23,7276 8,2573 564 318096 179406144 23,7487 8,2621 565 319225 180362125 23,7697 8,2670 566 320356 181321496 23,7908 8,2719 567 321489 182284263 23,8118 8,2768 568 322624 183250432 23,8328 8,2816 569 323761 184220009 23,8537 8,2865 570 324900 185193000 23,8747 8,2913 571 326041 186169411 23,8956 8,2962 572 327184 187149248 23,9165 8,3010 573 328329 188132517 23,9374 8,3059 574 329476 189119224 23,9583 8,3107 575 330625 190109375 23,9792 8,3155 576 331776 191102976 24,0000 8,3203 577 332929 192100033 24,0208 8,3251 578 334084 193100552 24,0416 8,3300 579 335241 194104539 24,0624 8,3348 580 336400 195112000 24,0832 8,3396 581 337561 196122941 24,1039 8,3443 582 338724 197137368 24,1247 8,3491 583 339889 198155287 24,1454 8,3539 584 341056 199176704 24,1661 8,3587 585 342225 200201625 24,1868 8,3634 586 343396 201230056 24,2074 8,3682 587 344569 202262003 24,2281 8,3730 588 345744 203297472 24,2487 8,3777 589 346921 204336469 24,2693 8,3825 590 348100 205379000 24,2899 8,3872 591 349281 206425071 24,3105 8,3919 592 350464 207474688 24,3311 8,3967 593 351649 208527857 24,3516 8,4014 594 352836 209584584 24,3721 8,4061 595 354025 210644875 24,3926 8,4108 596 355216 211708736 24,4131 8,4155 597 356409 212776173 24,4336 8,4202 598 357604 213847192 24,4540 8,4249 599 358801 214921799 24,4745 8,4296 600 360000 216000000 24,4949 8,4343 601 361201 217081801 24,5153 8,4390 602 362404 218167208 24,5357 8,4437 603 363609 219256227 24,5561 8,4484 604 364816 220348864 24,5764 8,4530 605 366025 221445125 24,5967 8,4577 606 367236 222545016 24,6171 8,4623 607 368449 223648543 24,6374 8,4670 608 369664 224755712 24,6577 8,4716 609 370881 225866529 24,6779 8,4763 610 372100 226981000 24,6982 8,4809 n n2 n3 n 3 n 611 373321 228099131 24,7184 8,4856 612 374544 229220928 24,7386 8,4902 613 375769 230346397 24,7588 8,4948 614 376996 231475544 24,7790 8,4994 615 378225 232608375 24,7992 8,5040 616 379456 233744896 24,8193 8,5086 617 380689 234885113 24,8395 8,5132 618 381924 236029032 24,8596 8,5178 619 383161 237176659 24,8797 8,5224 620 384400 238328000 24,8998 8,5270 621 385641 239483061 24,9199 8,5316 622 386884 240641848 24,9399 8,5362 623 388129 241804367 24,9600 8,5408 624 389376 242970624 24,9800 8,5453 625 390625 244140625 25,0000 8,5499 626 391876 245314376 25,0200 8,5544 627 393129 246491883 25,0400 8,5590 628 394384 247673152 25,0599 8,5635 629 395641 248858189 25,0799 8,5681 630 396900 250047000 25,0998 8,5726 631 398161 251239591 25,1197 8,5772 632 399424 252435968 25,1396 8,5817 633 400689 253636137 25,1595 8,5862 634 401956 254840104 25,1794 8,5907 635 403225 256047875 25,1992 8,5962 636 404496 257259456 25,2190 8,5997 637 405769 258474853 25,2389 8,6043 638 407044 259694072 25,2587 8,6088 639 408321 260917119 25,2785 8,6132 640 409600 262144000 25,2982 8,6177 641 410881 263374721 25,3180 8,6222 642 412164 264609288 25,3377 8,6267 643 413449 265847707 25,3574 8,6312 644 414736 267089984 25,3772 8,6357 645 416025 268336125 25,3969 8,6401 646 417316 269586136 25,4165 8,6446 647 418609 270840023 25,4362 8,6490 648 419904 272097792 25,4558 8,6535 649 421201 273359449 25,4755 8,6579 650 422500 274625000 25,4951 8,6624 651 423801 275894451 25,5147 8,6668 652 425104 277167808 25,5343 8,6713 653 426409 278445077 25,5539 8,6757 654 427716 279726264 25,5734 8,6801 655 429025 281011375 25,5930 8,6845 656 430336 282300416 25,6125 8,6890 657 431649 283593393 25,6320 8,6934 658 432964 284890312 25,6515 8,6978 659 434281 286191179 25,6710 8,7022 660 435600 287496000 25,6905 8,7066 661 436921 288804781 25,7099 8,7110 662 438244 290117528 25,7294 8,7154 663 439569 291434247 25,7488 8,7198 664 440896 292754944 25,7682 8,7241 665 442225 294079625 25,7876 8,7285 666 443556 295408296 25,8070 8,7329 667 444889 296740963 25,8263 8,7373 668 446224 298077632 25,8457 8,7416 669 447561 299418309 25,8650 8,7460 670 448900 300763000 25,8844 8,7503 671 450241 302111711 25,9037 8,7547 672 451584 303464448 25,9230 8,7590 673 452929 304821217 25,9422 8,7634 674 454276 306182024 25,9615 8,7677 675 455625 307546875 25,9808 8,7721 676 456976 308915776 26,0000 8,7764 677 458329 310288733 26,0192 8,7807 678 459684 311665752 26,0384 8,7850 679 461041 313046839 26,0576 8,7893 680 462400 314432000 26,0768 8,7937 n n2 n3 n 3 n Tavole 8 681 463761 315821241 26,0960 8,7980 682 465124 317214568 26,1151 8,8023 683 466489 318611987 26,1343 8,8066 684 467856 320013504 26,1534 8,8109 685 469225 321419125 26,1725 8,8152 686 470596 322828856 26,1916 8,8194 687 471969 324242703 26,2107 8,8237 688 473344 325660672 26,2298 8,8280 689 474721 327082769 26,2488 8,8323 690 476100 328509000 26,2679 8,8366 691 477481 329939371 26,2869 8,8408 692 478864 331373888 26,3059 8,8451 693 480249 332812557 26,3249 8,8493 694 481636 334255384 26,3439 8,8536 695 483025 335702375 26,3629 8,8578 696 484416 337153536 26,3818 8,8621 697 485809 338608873 26,4008 8,8663 698 487204 340068392 26,4197 8,8706 699 488601 341532099 26,4386 8,8748 700 490000 343000000 26,4575 8,8790 701 491401 344472101 26,4764 8,8833 702 492804 345948408 26,4953 8,8875 703 494209 347428927 26,5141 8,8917 704 495616 348913664 26,5330 8,8959 705 497025 350402625 26,5518 8,9001 706 498436 351895816 26,5707 8,9043 707 499849 353393243 26,5895 8,9085 708 501264 354894912 26,6083 8,9127 709 502681 356400829 26,6271 8,9169 710 504100 357911000 26,6458 8,9211 711 505521 359425431 26,6646 8,9253 712 506944 360944128 26,6833 8,9295 713 508369 362467097 26,7021 8,9337 714 509796 363994344 26,7208 8,9378 715 511225 365525875 26,7395 8,9420 716 512656 367061696 26,7582 8,9462 717 514089 368601813 26,7769 8,9503 718 515524 370146232 26,7955 8,9545 719 516961 371694959 26,8142 8,9587 720 518400 373248000 26,8328 8,9628 721 519841 374805361 26,8514 8,9670 722 521284 376367048 26,8701 8,9711 723 522729 377933067 26,8887 8,9752 724 524176 379503424 26,9072 8,9794 725 525625 381078125 26,9258 8,9835 726 527076 382657176 26,9444 8,9876 727 528529 384240583 26,9629 8,9918 728 529984 385828352 26,9815 8,9959 729 531441 387420489 27,0000 9,0000 730 532900 389017000 27,0185 9,0041 731 534361 390617891 27,0370 9,0082 732 535824 392223168 27,0555 9,0123 733 537289 393832837 27,0740 9,0164 734 538756 395446904 27,0924 9,0205 735 540225 397065375 27,1109 9,0246 736 541696 398688256 27,1293 9,0287 737 543169 400315553 27,1477 9,0328 738 544644 401947272 27,1662 9,0369 739 546121 403583419 27,1846 9,0410 740 547600 405224000 27,2029 9,0450 741 549081 406869021 27,2213 9,0491 742 550564 408518488 27,2397 9,0532 743 552049 410172407 27,2580 9,0572 744 553536 411830784 27,2764 9,0613 745 555025 413493625 27,2947 9,0654 746 556516 415160936 27,3130 9,0694 747 558009 416832723 27,3313 9,0735 748 559504 418508992 27,3496 9,0775 749 561001 420189749 27,3679 9,0816 750 562500 421875000 27,3861 9,0856 n n2 n3 n 3 n 751 564001 423564751 27,4044 9,0896 752 565504 425259008 27,4226 9,0937 753 567009 426957777 27,4408 9,0977 754 568516 428661064 27,4591 9,1017 755 570025 430368875 27,4773 9,1057 756 571536 432081216 27,4955 9,1098 757 573049 433798093 27,5136 9,1138 758 574564 435519512 27,5318 9,1178 759 576081 437245479 27,5500 9,1218 760 577600 438976000 27,5681 9,1258 761 579121 440711081 27,5862 9,1298 762 580644 442450728 27,6043 9,1338 763 582169 444194947 27,6225 9,1378 764 583696 445943744 27,6406 9,1418 765 585225 447697125 27,6586 9,1458 766 586756 449455096 27,6767 9,1498 767 588289 451217663 27,6948 9,1537 768 589824 452984832 27,7128 9,1577 769 591361 454756609 27,7308 9,1617 770 592900 456533000 27,7489 9,1657 771 594441 458314011 27,7669 9,1696 772 595984 460099648 27,7849 9,1736 773 597529 461889917 27,8029 9,1775 774 599076 463684824 27,8209 9,1815 775 600625 465484375 27,8388 9,1855 776 602176 467288576 27,8568 9,1894 777 603729 469097433 27,8747 9,1933 778 605284 470910952 27,8927 9,1973 779 606841 472729139 27,9106 9,2012 780 608400 474552000 27,9285 9,2052 781 609961 476379541 27,9464 9,2091 782 611524 478211768 27,9643 9,2130 783 613089 480048687 27,9821 9,2170 784 614656 481890304 28,0000 9,2209 785 616225 483736625 28,0179 9,2248 786 617796 485587656 28,0357 9,2287 787 619369 487443403 28,0535 9,2326 788 620944 489303872 28,0713 9,2365 789 622521 491169069 28,0891 9,2404 790 624100 493039000 28,1069 9,2443 791 625681 494913671 28,1247 9,2482 792 627264 496793088 28,1425 9,2521 793 628849 498677257 28,1603 9,2560 794 630436 500566184 28,1780 9,2599 795 632025 502459875 28,1957 9,2638 796 633616 504358336 28,2135 9,2677 797 635209 506261573 28,2312 9,2716 798 636804 508169592 28,2489 9,2754 799 638401 510082399 28,2666 9,2793 800 640000 512000000 28,2843 9,2832 801 641601 513922401 28,3019 9,2870 802 643204 515849608 28,3196 9,2909 803 644809 517781627 28,3373 9,2948 804 646416 519718464 28,3549 9,2986 805 648025 521660125 28,3725 9,3025 806 649636 523606616 28,3901 9,3063 807 651249 525557943 28,4077 9,3102 808 652864 527514112 28,4253 9,3140 809 654481 529475129 28,4429 9,3179 810 656100 531441000 28,4605 9,3217 811 657721 533411731 28,4781 9,3255 812 659344 535387328 28,4956 9,3294 813 660969 537367797 28,5132 9,3332 814 662596 539353144 28,5307 9,3370 815 664225 541343375 28,5482 9,3408 816 665856 543338496 28,5657 9,3447 817 667489 545338513 28,5832 9,3485 818 669124 547343432 28,6007 9,3523 819 670761 549353259 28,6182 9,3561 820 672400 551368000 28,6356 9,3599 n n2 n3 n 3 n Tavole 9 821 674041 553387661 28,6531 9,3637 822 675684 555412248 28,6705 9,3675 823 677329 557441767 28,6880 9,3713 824 678976 559476224 28,7054 9,3751 825 680625 561515625 28,7228 9,3789 826 682276 563559976 28,7402 9,3827 827 683929 565609283 28,7576 9,3865 828 685584 567663552 28,7750 9,3902 829 687241 569722789 28,7924 9,3940 830 688900 571787000 28,8097 9,3978 831 690561 573856191 28,8271 9,4016 832 692224 575930368 28,8444 9,4053 833 693889 578009537 28,8617 9,4091 834 695556 580093704 28,8791 9,4129 835 697225 582182875 28,8964 9,4166 836 698896 584277056 28,9137 9,4204 837 700569 586376253 28,9310 9,4241 838 702244 588480472 28,9482 9,4279 839 703921 590589719 28,9655 9,4316 840 705600 592704000 28,9828 9,4354 841 707281 594823321 29,0000 9,4391 842 708964 596947688 29,0172 9,4429 843 710649 599077107 29,0345 9,4466 844 712336 601211584 29,0517 9,4503 845 714025 603351125 29,0689 9,4541 846 715716 605495736 29,0861 9,4578 847 717409 607645423 29,1033 9,4615 848 719104 609800192 29,1204 9,4652 849 720801 611960049 29,1376 9,4690 850 722500 614125000 29,1548 9,4727 851 724201 616295051 29,1719 9,4764 852 725904 618470208 29,1890 9,4801 853 727609 620650477 29,2062 9,4838 854 729316 622835864 29,2233 9,4875 855 731025 625026375 29,2404 9,4912 856 732736 627222016 29,2575 9,4949 857 734449 629422793 29,2746 9,4986 858 736164 631628712 29,2916 9,5023 859 737881 633839779 29,3087 9,5060 860 739600 636056000 29,3258 9,5097 861 741321 638277381 29,3428 9,5134 862 743044 640503928 29,3598 9,5171 863 744769 642735647 29,3769 9,5207 864 746496 644972544 29,3939 9,5244 865 748225 647214625 29,4109 9,5281 866 749956 649461896 29,4279 9,5317 867 751689 651714363 29,4449 9,5354 868 753424 653972032 29,4618 9,5391 869 755161 656234909 29,4788 9,5427 870 756900 658503000 29,4958 9,5464 871 758641 660776311 29,5127 9,5501 872 760384 663054848 29,5296 9,5537 873 762129 665338617 29,5466 9,5574 874 763876 667627624 29,5635 9,5610 875 765625 669921875 29,5804 9,5647 876 767376 672221376 29,5973 9,5683 877 769129 674526133 29,6142 9,5719 878 770884 676836152 29,6311 9,5756 879 772641 679151439 29,6479 9,5792 880 774400 681472000 29,6648 9,5828 881 776161 683797841 29,6816 9,5865 882 777924 686128968 29,6985 9,5901 883 779689 688465387 29,7153 9,5937 884 781456 690807104 29,7321 9,5973 885 783225 693154125 29,7490 9,6010 886 784996 695506456 29,7658 9,6046 887 786769 697864103 29,7825 9,6082 888 788544 700227072 29,7993 9,6118 889 790321 702595369 29,8161 9,6154 890 792100 704969000 29,8329 9,6190 n n2 n3 n 3 n 891 793881 707347971 29,8496 9,6226 892 795664 709732288 29,8664 9,6262 893 797449 712121957 29,8831 9,6298 894 799236 714516984 29,8998 9,6334 895 801025 716917375 29,9166 9,6370 896 802816 719323136 29,9333 9,6406 897 804609 721734273 29,9500 9,6442 898 806404 724150792 29,9666 9,6477 899 808201 726572699 29,9833 9,6513 900 810000 729000000 30,0000 9,6549 901 811801 731432701 30,0167 9,6585 902 813604 733870808 30,0333 9,6620 903 815409 736314327 30,0500 9,6656 904 817216 738763264 30,0666 9,6692 905 819025 741217625 30,0832 9,6727 906 820836 743677416 30,0998 9,6763 907 822649 746142643 30,1164 9,6799 908 824464 748613312 30,1330 9,6834 909 826281 751089429 30,1496 9,6870 910 828100 753571000 30,1662 9,6905 911 829921 756058031 30,1828 9,6941 912 831744 758550528 30,1993 9,6976 913 833569 761048497 30,2159 9,7012 914 835396 763551944 30,2324 9,7047 915 837225 766060875 30,2490 9,7082 916 839056 768575296 30,2655 9,7118 917 840889 771095213 30,2820 9,7153 918 842724 773620632 30,2985 9,7188 919 844561 776151559 30,3150 9,7224 920 846400 778688000 30,3315 9,7259 921 848241 781229961 30,3480 9,7294 922 850084 783777448 30,3645 9,7329 923 851929 786330467 30,3809 9,7364 924 853776 788889024 30,3974 9,7400 925 855625 791453125 30,4138 9,7435 926 857476 794022776 30,4302 9,7470 927 859329 796597983 30,4467 9,7505 928 861184 799178752 30,4631 9,7540 929 863041 801765089 30,4795 9,7575 930 864900 804357000 30,4959 9,7610 931 866761 806954491 30,5123 9,7645 932 868624 809557568 30,5287 9,7680 933 870489 812166237 30,5450 9,7715 934 872356 814780504 30,5614 9,7750 935 874225 817400375 30,5778 9,7785 936 876096 820025856 30,5941 9,7819 937 877969 822656953 30,6105 9,7854 938 879844 825293672 30,6268 9,7889 939 881721 827936019 30,6431 9,7924 940 883600 830584000 30,6594 9,7959 941 885481 833237621 30,6757 9,7993 942 887364 835896888 30,6920 9,8028 943 889249 838561807 30,7083 9,8063 944 891136 841232384 30,7246 9,8097 945 893025 843908625 30,7409 9,8132 946 894916 846590536 30,7571 9,8167 947 896809 849278123 30,7734 9,8201 948 898704 851971392 30,7896 9,8236 949 900601 854670349 30,8058 9,8270 950 902500 857375000 30,8221 9,8305 951 904401 860085351 30,8383 9,8339 952 906304 862801408 30,8545 9,8374 953 908209 865523177 30,8707 9,8408 954 910116 868250664 30,8869 9,8443 955 912025 870983875 30,9031 9,8477 956 913936 873722816 30,9193 9,8511 957 915849 876467493 30,9354 9,8546 958 917764 879217912 30,9516 9,8580 959 919681 881974079 30,9677 9,8614 960 921600 884736000 30,9839 9,8648 n n2 n3 n 3 n 961 923521 887503681 31,0000 9,8683 962 925444 890277128 31,0161 9,8717 963 927369 893056347 31,0322 9,8751 964 929296 895841344 31,0484 9,8785 965 931225 898632125 31,0645 9,8819 966 933156 901428696 31,0805 9,8854 967 935089 904231063 31,0966 9,8888 968 937024 907039232 31,1127 9,8922 969 938961 909853209 31,1288 9,8956 970 940900 912673000 31,1448 9,8990 971 942841 915498611 31,1609 9,9024 972 944784 918330048 31,1769 9,9058 973 946729 921167317 31,1929 9,9092 974 948676 924010424 31,2090 9,9126 975 950625 926859375 31,2250 9,9160 976 952576 929714176 31,2410 9,9194 977 954529 932574833 31,2570 9,9227 978 956484 935441352 31,2730 9,9261 979 958441 938313739 31,2890 9,9295 980 960400 941192000 31,3050 9,9329 n n2 n3 n 3 n 981 962361 944076141 31,3209 9,9363 982 964324 946966168 31,3369 9,9396 983 966289 949862087 31,3528 9,9430 984 968256 952763904 31,3688 9,9464 985 970225 955671625 31,3847 9,9497 986 972196 958585256 31,4006 9,9531 987 974169 961504803 31,4166 9,9565 988 976144 964430272 31,4325 9,9598 989 978121 967361669 31,4484 9,9632 990 980100 970299000 31,4643 9,9666 991 982081 973242271 31,4802 9,9699 992 984064 976191488 31,4960 9,9733 993 986049 979146657 31,5119 9,9766 994 988036 982107784 31,5278 9,9800 995 990025 985074875 31,5436 9,9833 996 992016 988047936 31,5595 9,9866 997 994009 991026973 31,5753 9,9900 998 996004 994011992 31,5911 9,9933 999 998001 997002999 31,6070 9,9967 1000 1000000 1000000000 31,6228 10,0000
Tavole 10
FORMULARIO DI GEOMETRIA PIANA Poligono Numero fisso f rapporto tra apotema e lato: a l Triangolo equilatero 0,289 Quadrato 0,500 Pentagono regolare 0,688 Esagono regolare 0,866 Ettagono regolare 1,038 Ottagono regolare 1,207 Ennagono regolare 1,374 Decagono regolare 1,539 Dodecagono regolare 1,866 Poligono Formule dirette Formule inverse Triangolo a, b, c: lati h: altezza relativa alla base b p: perimetro h b a c A b 2 h p a b c oppure, con la formula di Erone: A 2 p 2 p a 2 p b 2 p c b A h 2
h A b 2
Triangolo rettangolo a: ipotenusa b, c: cateti h: altezza relativa all’ipotenusa pc e pb: proiezioni dei cateti sull’ipotenusa h pc a pb c b A a 2 h oppure A = b 2 c
Teorema di Pitagora: a b2 c2 Teoremi di Euclide: a : c c : pc a : b b : pb pc : h h : pb b a2 c2 c a2 b2 Quadrato l: lato d: diagonale d l A l2 oppure A d 2 2
d l 2 oppure, approssimando d l 1,4142 l A d A 2 l =
d 2 oppure, approssimando l 1,4 d 142
Tavole 12 Poligono Formule dirette Formule inverse Rombo d: diagonale minore D: diagonale maggiore l: lato D d l A d1 2 d2 l 2 d 2 + D 2 2 d1 2 d
2 A d2 2 d
1 A
2 d l2 D 2 2 Trapezio b: base minore B: base maggiore h: altezza h B b A (B 2 b) h h B 2
A b B
b
2 h A
Poligono regolare a: apotema l: lato n: numero di lati f: numero fisso l l l l a a a a a l f A p 2 a oppure A n 2 l2 f
a A p 2 p A a 2
Circonferenza e cerchio r d r: raggio d: diametro C p d 2 p r A p r2 d C p r 2 C p r A p
Parallelogramma Rettangolo Rombo b b h h b h b: base h: altezza relativa alla base b A b h b A h h A b
Tavole 13 FORMULARIO DI GEOMETRIA SOLIDA Solido Formule dirette Formule inverse Parallelepipedo rettangolo d b c a Al pbh oppure Al 2(ab bc) At Al 2Ab oppure At 2(ab ac bc) Vabc oppure VAbh d a2 b2 c2 pb A h l h A pb l Al At 2Ab Ab A t 2 Al Ab V h h A V b
Cubo d s Come il parallelepipedo, oppure: Al 4s2 At 6s2 V s3 d s3 s 1,73 s A 4 l s A 6 t
s 3 V Prisma retto Al pbh At Al 2Ab V Abh pb A h l h A pb l Al At 2Ab Ab A t 2 Al Ab V h h A V b
Piramide retta l h a Al p 2 ba At Al Ab V A 3 bh pb 2 a Al a 2 p A b l Ab 3 h V h 3 A V b
Tavole 14 Solido Formule dirette Formule inverse Cilindro r h Al 2prh At Al 2Ab V pr2h r 2p A h h 2 A pr Al At 2Ab Ab A t 2 Al h p V r2 r p V h
Cono C: misura della circonferenza di base h a r Al C 2 a pra Al pra At Al Ab pra pr2 V pr 3 2h a p A r l r p A a l r 3 p V h h p 3V r2 Sfera r A 4pr2 V 4 3 pr3 r 4A p r
3 4 3V p
Poliedri regolari Area totale Volume Tetraedro 4 l2 0,433 l3 0,117 Esaedro o Cubo 6 l2 l3 1 Ottaedro 8 l2 0,433 l3 0,471 Dodecaedro 12 l2 1,720 l3 7,663 Icosaedro 20 l2 0,433 l3 2,182 Tavole 15 ALFABETO GRECO Lettera Nome Pronuncia a A alfa a b B beta b g G gamma g (dura) d D delta d e E épsilon e (chiusa) z Z zeta z (dolce) h H eta e (aperta) u U theta th i I iota i k K cappa c (dura) l L lambda l m M mi m n N ni n j J csi ks, x o O omicron o (chiusa) p P pi p r R rho r s, w S sigma s (aspra) t T tau t y Y ipsilon ü f F phi ph x X chi ch c C psi ps v V omega o (aperta)
|