A342605 Numbers k such that A342604(k) is prime.

1, 2, 4, 14, 20, 26, 31, 39, 42, 57, 64, 69, 87, 92, 114, 127, 150, 152, 172, 213, 274, 301, 326, 379, 436, 460, 499, 523, 597, 708, 747, 817, 819, 912, 1382, 1452, 1595, 1600, 1603, 1632, 1647, 1670, 1768, 1833, 1834, 1873, 1890, 1986, 2137, 2696, 2702, 2859, 3080, 3154, 3167, 3173, 3386, 3933

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..1000

Formula

A342604(a(n)) = A342606(n).

Example

a(3) = 4 is a term because A342604(4) = 17 is prime.

Maple

p:= 1: R:= NULL:
for n from 0 to 14 do
  for k from 0 to n do
    p:= nextprime(p);
    R:= R, binomial(n, k)*p
od od:
S:= ListTools:-PartialSums([R]):
select(t -> isprime(S[t]), [$1..nops(S)]);

Crossrefs

Cf. A342604, A342606.

Sequence in context: A336821 A299488 A295401 * A032398 A245764 A032309

Adjacent sequences: A342602 A342603 A342604 * A342606 A342607 A342608

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Mar 16 2021

Status

approved