A357252 Primes in A357251.

19, 14479, 43609, 406171, 711959, 1330177, 2698231, 3918157, 18987169, 26135339, 194727347, 269998639, 975929347, 5005853669, 8430389621, 24830247671, 36372313009, 69703708967, 93194681917, 126628534313, 139478926201, 304123612349, 359101509211, 384305009171, 387550106843, 400722388999

Offset: 1

Author

J. M. Bergot and Robert Israel, Sep 20 2022

Keywords

• nonn

Comments

Primes that are, for some N, the sum of p*q for all pairs of primes (p,q) with p <= q <= N.

Examples

			a(2) = 14479 is in the sequence because 14479 = A357251(11) is the sum of p*q for primes p <= q <= 31 and is prime.
		

Links

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

Crossrefs

Cf. A357251.

Programs

Maple

p:= 2: a:= 4: s:= 2: R:= NULL: count:= 0:
for i from 1 while count < 100 do
  p:= nextprime(p);
  s:= s + p;
  a:= a + p*s;
  if isprime(a) then count:= count+1; R:= R,a; fi
od:
R;