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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.

%I A052286 #28 Feb 14 2024 06:59:02
%S A052286 17,5077,178799,506977979,4045586999,156777789899,157778789899,
%T A052286 1445779999999,1555899989999,1556788999999999,144559999999999699,
%U A052286 156787999999999999,1444446778999999999999,1556688999999998999999,15556699999799999999999,144444556769999999999999999,144557778999999999989999999,177777889899989999999999999,177778899989999999999999989
%N 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.
%H A052286 Max Alekseyev, <a href="/A052286/b052286.txt">Table of n, a(n) for n = 1..100</a>
%e A052286 a(2)=5077 because 5! + 0! + 7! + 7! = 101^2 (a squared prime that is larger than any of the previous ones).
%Y A052286 Cf. A000040, A000142, A000290, A052279.
%K A052286 nonn,base
%O A052286 1,1
%A A052286 _G. L. Honaker, Jr._, Feb 07 2000
%E A052286 a(4) found by _Jud McCranie_
%E A052286 a(5)-a(10) from _Donovan Johnson_, Dec 04 2009
%E A052286 Terms a(11) onward from _Max Alekseyev_, Feb 14 2024