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

1,1

Comments

All terms are even.

Links

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

Example

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.

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)]);

Crossrefs

Includes A108605. Disjoint from A014612.

Cf. A339436.

Sequence in context: A255746 A082917 A001172 * A108605 A216049 A063765

Adjacent sequences: A339434 A339435 A339436 * A339438 A339439 A339440

Keyword

nonn

Author

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

Status

approved