A356383 - OEIS

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A356383

Primes p such that the sum of p and the next four primes congruent mod 10 to p is 5 times a prime.

11, 13, 17, 29, 31, 37, 43, 47, 61, 67, 71, 73, 79, 83, 101, 103, 107, 113, 127, 131, 139, 149, 163, 179, 191, 193, 199, 211, 227, 233, 241, 269, 277, 281, 311, 317, 331, 353, 373, 389, 409, 419, 443, 457, 523, 563, 569, 577, 599, 613, 643, 647, 659, 683, 691, 701, 719, 739, 743, 769, 773, 787

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OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

a(3) = 17 is a term because 17 is a prime, the next four primes == 17 (mod 10) are 37, 47, 67 and 97 and 17+37+47+67+97 = 265 = 5*53 where 53 is prime.

MAPLE

filter:= proc(p) local q, s, k;

if not isprime(p) then return false fi;

s:= p; k:= 1;

for q from p+10 by 10 while k < 5 do

if isprime(q) then k:= k+1; s:= s+q; fi

od;

isprime(s/5)

end proc:

filter(5):= false:

select(filter, [seq(i, i=3..1000, 2)]);

CROSSREFS