A335304 Primes k such that k divides sum of k-th twin prime pair.

2, 3, 5, 34543

Offset: 1

Author

Metin Sariyar, May 31 2020

Keywords

• nonn
• bref
• more

Comments

Primes in A335303.

a(5) > 2*10^11, if it exists. - Giovanni Resta, Jun 01 2020

Examples

			34543 is a term because sum of 34543th twin prime pair is 5388707 + 5388709 = 8*3*13*34543.
		

Links

• Chris K. Caldwell and G. L. Honaker, Jr., Prime Curio for 34543

Crossrefs

Cf. A001097, A001359, A006512, A054735, A077800, A335303.

Programs

Mathematica

l={};c=0;Do[If[PrimeQ[Prime[n]+2],c=c+1;If[IntegerQ[(2*Prime[n]+2)/c]&&PrimeQ[c], AppendTo[l,c]]],{n,2,10^6}];l

PARI

is(n) = {!bittest(n, 0)&&isprime(n\2-1)&&isprime(n\2+1)}; \\ A054735
lista(nn) = {my(nb=0); for (n=1, nn, if (is(n), nb++; if (isprime(nb) && ((n % nb) == 0), print1(nb, ", "));););} \\ Michel Marcus, Jun 01 2020