A358343 - OEIS

%I #10 Nov 21 2022 09:50:04

%S 213724201,336987901,791091901,1940820901,2454494551,2525191051,

%T 2675901751,3490984201,3571597951,3702692551,4045565851,4531570951,

%U 5698472701,5928161251,5953041001,6589503751,7073836201,7360771801,7811308951,8282895451,10242069451,11049315751,12392801251,13062696001

%N Primes p such that p + 6, p + 12, p + 18, (p+4)/5, (p+4)/5 + 6, (p+4)/5 + 12 and (p+4)/5 + 18 are also prime.

%C Terms p of A023271 such that (p+4)/5 is also in A023271.

%C All terms == 901 (mod 1050).

%H Robert Israel, <a href="/A358343/b358343.txt">Table of n, a(n) for n = 1..213</a>

%e a(3) = 791091901 is a term because p = 791091901, p + 6 = 791091907, p + 12 = 791091913, p + 18 = 791091919, (p+4)/5 = 158218381, (p+4)/5 + 6 = 158218387, (p+4)/5 + 12 = 158218393, and (p+4)/5 + 18 = 158218399 are all prime.

%p filter:= p -> andmap(isprime, [p, p+6, p+12, p+18, (p+4)/5, (p+4)/5 + 6,

%p (p+4)/5 + 12, (p+4)/5 + 18]):

%p select(filter, [seq(p, p = 901 .. 2*10^10, 1050)]);

%Y Cf. A023271.

%K nonn

%O 1,1

%A _J. M. Bergot_ and _Robert Israel_, Nov 10 2022