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Numbers k such that every (prime) factor of k!+1 is one more than a multiple of k.
2

%I #16 Feb 19 2024 22:53:10

%S 1,2,3,4,5,6,7,10,11,12,25,27,28,37,41,46,73,77,116

%N Numbers k such that every (prime) factor of k!+1 is one more than a multiple of k.

%C a(20) >= 140. - _Max Alekseyev_, Feb 19 2024

%H H. Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/matha1/matha104.htm">Factors of N!+1</a>

%e 46 is in the list because 46!+1 = 47 * 268662306503771535067 * 435777793891607546778854755077304349 and all of those factors are = 1 mod 46.

%Y Complement of A064164, superset of A002981.

%K nonn,more

%O 1,2

%A _Don Reble_, Sep 25 2001

%E a(19) from _Amiram Eldar_, Oct 03 2019