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A163487 Primes p such that 6*p is the sum of two consecutive primes. 7

%I #16 Nov 03 2023 23:32:51

%S 2,3,5,7,13,23,31,37,43,103,127,131,151,163,167,229,241,257,293,311,

%T 313,337,389,433,509,521,523,613,647,661,719,739,743,757,797,821,887,

%U 937,953,971,1013,1033,1063,1151,1153,1217,1283,1303,1307,1319,1373,1451

%N Primes p such that 6*p is the sum of two consecutive primes.

%H Robert Israel, <a href="/A163487/b163487.txt">Table of n, a(n) for n = 1..10000</a>

%e 2*6=12=5+7, 3*6=18=7+11, 5*6=30=13+17, ..

%p Primes:= select(isprime, [seq(i,i=3..10^4, 2)]):

%p select(t -> t::integer and isprime(t), (Primes[1..-2]+Primes[2..-1])/6); # _Robert Israel_, Jun 19 2018

%t Select[ListConvolve[{1,1},Prime[Range[1000]]]/6,PrimeQ] (* _Paolo Xausa_, Nov 03 2023 *)

%Y Cf. A001043, A118134.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jul 28 2009

%E Edited by _N. J. A. Sloane_, Aug 08 2009

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Last modified May 1 17:43 EDT 2024. Contains 372175 sequences. (Running on oeis4.)