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A145478 Primes p such that (29 + p)/2 is prime. 3

%I #16 Jan 24 2017 15:47:24

%S 5,17,29,53,89,113,137,149,173,197,233,269,317,353,449,509,557,593,

%T 677,773,809,857,929,953,977,1013,1097,1109,1277,1289,1373,1409,1493,

%U 1613,1697,1733,1877,1913,1997,2069,2153,2273,2297,2333,2357,2417,2549,2609

%N Primes p such that (29 + p)/2 is prime.

%C All these primes are congruent to 5 mod 12.

%H Ivan Neretin, <a href="/A145478/b145478.txt">Table of n, a(n) for n = 1..10000</a>

%t aa = {}; k = 29; Do[If[PrimeQ[(k + Prime[n])/2], AppendTo[aa, Prime[n]]], {n, 1, 500}];aa

%o (PARI) first(n)=my(t=1, p, i=1); while(i<n, p=prime(i); i=i+1; if(p>2&&isprime((29+p)/2), print1(p,", "))) \\ _Anders Hellström_, Jan 22 2017

%Y Cf. A092109, A145471-A145480.

%K nonn

%O 1,1

%A _Artur Jasinski_, Oct 11 2008

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Last modified April 24 11:01 EDT 2024. Contains 371936 sequences. (Running on oeis4.)