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