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Old 2020-10-29, 18:20   #1
sweety439
 
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"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

2×52×73 Posts
Default Two number theory questions

1. How many primes <= 12^n which is == k mod 12? For each values n = 10, 11, 12 and k = 1, 5, 7, 11

2. Find all Kaprekar's cycles for 9-digit to 12-digit dozenal numbers (a Kaprekar's cycle for 8-digit dozenal numbers is {4210XX98, X9737422, 87428744, 64328876, 652EE866, 961EE953, X8428732, 86528654, 6410XX76, X92EE822, 9980X323, X7646542, 8320X984, X7537642, 8430X874, X5428762, 8630X854, X540X762, X830X832, X8546632, 8520X964, X740X742, X8328832, 86546654})
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