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A132779 Primes p such that 33 does not divide p^n - 2 for any n. 0

%I #24 Aug 16 2022 16:06:19

%S 3,5,7,11,13,19,23,31,37,43,47,53,59,61,67,71,73,79,89,97,103,109,113,

%T 127,131,137,139,151,157,163,179,181,191,193,197,199,211,223,229,241,

%U 251,257,263,269,271,277,283,307,311,313,317,331,337,349,353,367

%N Primes p such that 33 does not divide p^n - 2 for any n.

%C Primes congruent to one of {1, 3, 4, 5, 7, 10, 11, 13, 14, 16, 19, 20, 23, 25, 26, 28, 31, 32} mod 33. [_Charles R Greathouse IV_, Dec 22 2011]

%F a(n) ~ (5/4) n log n. [_Charles R Greathouse IV_, _Michael B. Porter_ and _Arkadiusz Wesolowski_, Dec 24 2011]

%t Sort[Join[Transpose[FactorInteger[33]][[1]], Select[Prime[Range[73]], MemberQ[{1, 4, 5, 7, 10, 13, 14, 16, 19, 20, 23, 25, 26, 28, 31, 32}, Mod[#, 33]] &]]] (* _Arkadiusz Wesolowski_, Dec 24 2011 *)

%o (PARI) S=Set([1, 3, 4, 5, 7, 10, 11, 13, 14, 16, 19, 20, 23, 25, 26, 28, 31, 32]); forprime(p=2,1e3,if(setsearch(S,p%33),print1(p", "))) \\ _Charles R Greathouse IV_, Dec 22 2011

%K nonn,easy

%O 1,1

%A _A.K. Devaraj_, Aug 29 2007

%E Edited by _Arkadiusz Wesolowski_, Dec 22 2011

%E a(8)-a(56) from _Charles R Greathouse IV_, Dec 22 2011

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Last modified April 23 11:35 EDT 2024. Contains 371912 sequences. (Running on oeis4.)