A343451 Primes in A014342.

29, 41543, 230849, 267667, 895571, 1440449, 3171593, 3400087, 9305809, 9790127, 10811683, 11905679, 17067151, 19353953, 20161963, 25516163, 77893657, 82199893, 96107729, 131707319, 164721871, 171958543, 211522679, 266929763, 337603949, 361747937, 393590563, 420428507, 635794961, 752500141

Offset: 1

Author

J. M. Bergot and Robert Israel, Apr 15 2021

Keywords

• nonn

Comments

Primes of the form Sum_{i=1..n} prime(i) * prime(n+1-i).

Examples

			For n=3, a(3) = 230849 = A014342(47) is prime.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..1500

Crossrefs

Cf. A014342.

Programs

Maple

G:= expand(add(ithprime(i)*x^i,i=1..2000)^2):
select(isprime,[seq(coeff(G,x,i),i=2..2001)]);

Mathematica

Select[Table[With[{p=Prime[Range[n]]},ListConvolve[p,p]],{n,500}]//Flatten,PrimeQ] (* Harvey P. Dale, May 07 2025 *)