A116036 - OEIS

A116036

Numbers k such that k + prime(k) + prime(prime(k)) is a prime, where prime(k) denotes the k-th prime.

3, 5, 7, 13, 17, 21, 25, 41, 49, 55, 65, 73, 79, 91, 93, 95, 97, 101, 107, 113, 127, 129, 137, 149, 157, 159, 163, 167, 179, 183, 187, 191, 203, 205, 213, 221, 227, 253, 267, 271, 287, 307, 313, 323, 331, 333, 337, 349, 365, 369, 373, 377, 387, 389, 421, 429

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

EXAMPLE

7 + prime(7) + prime(prime(7)) = 83 (prime).

MAPLE

filter:= proc(n) local p; p:= ithprime(n); isprime(n+p+ithprime(p)) end proc:

select(filter, [seq(i, i=1..1000, 2)]); # Robert Israel, Apr 30 2026

CROSSREFS

Cf. A115996.