1000までの素数
素数を切るゲームのハイスコアを妻に奪われてしまったので1000までの素数を先に計算しておく
>>> primes = [] >>> for n in range(2, 1000): ... for p in primes: ... if n % p == 0: break ... else: ... primes.append(n) ...
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
2の倍数と5の倍数の判定のために、一番注目されるのは1の位だと思うので1の位で分類してみた。あとスコアにボーナスのつくEmirpとPalindromeに印をつけてみた
>>> xs = [(x % 10, x) for x in primes] >>> xs.sort() >>> def is_emirp(x): ... return int("".join(reversed(str(x)))) in primes ... >>> def is_palin(x): ... return int("".join(reversed(str(x)))) == x ... >>> def p(x): ... result = str(x) ... if is_palin(x): ... result += " P" ... elif is_emirp(x): ... result += " E" ... return result ... >>> for _, x in xs: ... print p(x)
11 P 31 E 41 61 71 E 101 P 131 P 151 P 181 P 191 P 211 241 251 271 281 311 E 331 401 421 431 461 491 521 541 571 601 631 641 661 691 701 E 751 E 761 E 811 821 881 911 941 E 971 E 991 E 2 P 3 P 13 E 23 43 53 73 E 83 103 113 E 163 173 193 223 233 263 283 293 313 P 353 P 373 P 383 P 433 443 463 503 523 563 593 613 643 653 673 683 733 E 743 E 773 823 853 863 883 953 E 983 E 5 P 7 P 17 E 37 E 47 67 97 E 107 E 127 137 157 E 167 E 197 227 257 277 307 317 337 E 347 E 367 397 457 467 487 547 557 577 587 607 617 647 677 727 P 757 P 787 P 797 P 827 857 877 887 907 E 937 E 947 967 E 977 997 19 29 59 79 E 89 109 139 149 E 179 E 199 E 229 239 269 349 359 E 379 389 E 409 419 439 449 479 499 509 569 599 619 659 709 E 719 739 E 769 E 809 829 839 859 919 P 929 P