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A335303
Numbers k such that k divides sum of k-th twin prime pair.
1
1, 2, 3, 4, 5, 6, 8, 12, 18, 30, 60, 70, 78, 150, 220, 240, 340, 360, 396, 672, 840, 1188, 1365, 1665, 3080, 3770, 6420, 7317, 9952, 10356, 12972, 18318, 19218, 20544, 21996, 24750, 28656, 34543, 37449, 41910, 180622, 201570, 245115, 728028, 856420, 897022, 986794
OFFSET
1,2
LINKS
Chris K. Caldwell and G. L. Honaker, Jr., Prime Curio for 34543
EXAMPLE
8 is a term because sum of 8th twin prime pair is 71 + 73 = 8*18.
MATHEMATICA
l={}; c=0; Do[If[PrimeQ[Prime[n]+2], c=c+1; If[IntegerQ[(2*Prime[n]+2)/c], AppendTo[l, c]]] , {n, 2, 10000}]; 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 ((n % nb) == 0, print1(nb, ", ")); ); ); } \\ Michel Marcus, Jun 01 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Metin Sariyar, May 31 2020
STATUS
approved