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A087489 Primes p such that 3^p - 2^p is composite. 6

%I #19 Jul 18 2022 10:00:54

%S 7,11,13,19,23,37,41,43,47,61,67,71,73,79,83,89,97,103,107,109,113,

%T 127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,

%U 223,227,229,233,239,241,251,257,263,269,271,281,283,293,307,311,313,317

%N Primes p such that 3^p - 2^p is composite.

%H Harvey P. Dale, <a href="/A087489/b087489.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[100]],CompositeQ[3^#-2^#]&] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Feb 18 2018 *)

%o (PARI) apmb(a,b,n) = { forprime(x=2,n, y=a^x-b^x; if(!ispseudoprime(y), print1(x","); ) ) }

%Y Cf. A001047.

%Y Primes p such that k^p - (k-1)^p is composite: this sequence (k=3), A087490 (k=4), A087685 (k=5), A087749 (k=6), A087759 (k=7), A087763 (k=8), A087894 (k=9), A087895 (k=10).

%K nonn

%O 1,1

%A _Cino Hilliard_, Oct 26 2003

%E Offset corrected by _Mohammed Yaseen_, Jul 17 2022

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)