A339437 Numbers k such that A339436(k) is prime.

6, 10, 22, 34, 58, 82, 118, 142, 202, 214, 216, 252, 274, 298, 330, 358, 382, 390, 394, 454, 468, 478, 490, 538, 562, 588, 622, 684, 690, 694, 726, 798, 838, 858, 862, 870, 910, 922, 924, 1042, 1044, 1122, 1138, 1176, 1198, 1210, 1224, 1234, 1254, 1282, 1290, 1318, 1332, 1440, 1482, 1518, 1540

Offset: 1

Author

J. M. Bergot and Robert Israel, Dec 04 2020

Keywords

• nonn

Comments

All terms are even.

Examples

			a(15)=330 is a member because 330 = 2*3*5*11 and A339436(330) = 2 + 2*3 + 2*3*5 + 3*5*11 + 5*11 + 11 = 269 is prime.
		

Links

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

Crossrefs

Includes A108605. Disjoint from A014612.

Cf. A339436.

Programs

Maple

A339436:= proc(n) local L,m;
  L:= sort(map(t -> t[1]$t[2],ifactors(n)[2]));
  m:= nops(L);
  add(mul(L[i],i=1..j)+mul(L[i],i=j+1..m),j=1..m-1)
end proc:
select(isprime @ A339436, [seq(i,i=2 .. 10000, 2)]);