A052286 Primes p such that f(p) > f(q) for all primes q < p, where f(n) is the sum of factorials of the digits of n if that sum is the square of a prime, otherwise f(n)=0.

17, 5077, 178799, 506977979, 4045586999, 156777789899, 157778789899, 1445779999999, 1555899989999, 1556788999999999, 144559999999999699, 156787999999999999, 1444446778999999999999, 1556688999999998999999, 15556699999799999999999, 144444556769999999999999999, 144557778999999999989999999, 177777889899989999999999999, 177778899989999999999999989

Offset

1,1

Links

Max Alekseyev, Table of n, a(n) for n = 1..100

Example

a(2)=5077 because 5! + 0! + 7! + 7! = 101^2 (a squared prime that is larger than any of the previous ones).

Crossrefs

Cf. A000040, A000142, A000290, A052279.

Sequence in context: A013722 A357419 A238610 * A079687 A362434 A062659

Adjacent sequences: A052283 A052284 A052285 * A052287 A052288 A052289

Keyword

nonn,base

Author

G. L. Honaker, Jr., Feb 07 2000

Extensions

a(4) found by Jud McCranie

a(5)-a(10) from Donovan Johnson, Dec 04 2009

Terms a(11) onward from Max Alekseyev, Feb 14 2024

Status

approved