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A053705 Primes p of form q^k-2 where q is also a prime and k > 1. 3

%I #20 Dec 14 2014 02:22:44

%S 2,7,23,47,79,167,241,359,727,839,1367,1847,2207,2399,3719,5039,6857,

%T 7919,10607,11447,14639,16127,17159,19319,19681,28559,29789,29927,

%U 36479,44519,49727,50651,54287,57119,66047,85847,97967,113567,128879

%N Primes p of form q^k-2 where q is also a prime and k > 1.

%C 79=3^4-2, 243=3^5-2.

%t Do[s=2+Prime[n]; If[Equal[Length[FactorInteger[s]], 1]&&!PrimeQ[s], Print[s-2]], {n, 1, 100000}]

%t fQ[n_] := PrimeNu[n + 2] == 1 && ! PrimeQ[n + 2]; Select[ Prime@ Range@ 15000, fQ] (* _Robert G. Wilson v_, Apr 01 2012 *)

%o (PARI) lista(nn) = forprime (p=1, nn, if (ispower(p+2,,&q) && isprime(q), print1(p, ", ")); ); \\ _Michel Marcus_, Dec 11 2014

%Y Cf. A025475. Subsequence of A053705.

%K nonn

%O 1,1

%A _Labos Elemer_, Feb 14 2000

%E Definition corrected by _Zak Seidov_, Dec 11 2014

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Last modified April 25 09:49 EDT 2024. Contains 371967 sequences. (Running on oeis4.)