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A051453

Prime powers such that 1 + lcm(1,2,...,p^w) is prime.

1, 2, 3, 4, 5, 7, 9, 19, 25, 31, 47, 89, 127, 139, 1369, 2251, 3271, 4253, 4373, 4549, 5449, 13331, 37123, 55291, 79633, 105653

OFFSET

1,2

LINKS

EXAMPLE

1 + lcm(1,2,..,89) = 718766754945489455304472257065075294401 is prime.

PROG

(PARI) ispp(n) = isprimepower(n) || n==1;

lista(nn) = {for (n=1, nn, if (ispp(n) && ispseudoprime(1+lcm([1..n])), print1(n, ", ")); ); } \\ Michel Marcus, Aug 26 2019

CROSSREFS

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

Corrected and extended by Wouter Meeussen, Apr 18 2003

a(18)-a(22) from Jinyuan Wang, May 02 2020

a(23)-a(24) from Michael S. Branicky, Apr 22 2023

a(25)-a(26) from Michael S. Branicky, Jul 04 2025

STATUS

approved

URL: https://oeis.org/A051453