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A335304
Primes k such that k divides sum of k-th twin prime pair.
1
2, 3, 5, 34543
OFFSET
1,1
COMMENTS
Primes in A335303.
a(5) > 2*10^11, if it exists. - Giovanni Resta, Jun 01 2020
LINKS
Chris K. Caldwell and G. L. Honaker, Jr., Prime Curio for 34543
EXAMPLE
34543 is a term because sum of 34543th twin prime pair is 5388707 + 5388709 = 8*3*13*34543.
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
PROG
(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
CROSSREFS
KEYWORD
nonn,bref,more
AUTHOR
Metin Sariyar, May 31 2020
STATUS
approved