A346416 - OEIS

A346416

Primes p such that the greatest perimeter of a triangle with prime sides including p and the next prime is prime.

5, 11, 13, 17, 19, 37, 41, 43, 47, 59, 71, 89, 103, 109, 113, 137, 139, 149, 163, 167, 173, 179, 181, 241, 269, 313, 337, 379, 389, 401, 491, 499, 521, 547, 557, 569, 587, 599, 607, 613, 617, 631, 643, 673, 677, 701, 739, 773, 787, 811, 839, 877, 883, 887, 929, 941, 953, 971, 977, 983, 1019, 1021

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OFFSET

1,1

COMMENTS

If p is prime and q is the next prime, the greatest perimeter is p+q+r where r is the greatest prime < p+q.

LINKS

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

EXAMPLE

a(3) = 13 is a term because the next prime is 17, the greatest prime < 13+17 is 29, and 13+17+29 = 59 is prime.

MAPLE

f:= proc(n) local p, q, r, s;

p:= ithprime(n);