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A051453 Prime powers such that 1+lcm(1,...,p^w) is prime. 0
1, 2, 3, 4, 5, 7, 9, 19, 25, 31, 47, 89, 127, 139, 1369, 2251, 3271 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..17.

EXAMPLE

1+lcm(1,..,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

Cf. A000961, A003418, A049536, A049537.

Sequence in context: A282895 A293535 A261170 * A302940 A272072 A118463

Adjacent sequences:  A051450 A051451 A051452 * A051454 A051455 A051456

KEYWORD

nonn,more

AUTHOR

Labos Elemer

EXTENSIONS

Corrected and extended by Wouter Meeussen, Apr 18 2003

STATUS

approved

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Last modified February 26 11:49 EST 2020. Contains 332279 sequences. (Running on oeis4.)