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Maximal A050376-factors in factorization of factorials over distinct terms of A050376.
6

%I #21 Sep 17 2019 16:57:40

%S 2,3,4,5,16,81,256,65536,4294967296,18446744073709551616,

%T 340282366920938463463374607431768211456,

%U 115792089237316195423570985008687907853269984665640564039457584007913129639936

%N Maximal A050376-factors in factorization of factorials over distinct terms of A050376.

%C In contrast to prime power factorization of n! where maximal prime does not exceed n, in the considered factorization of n!, the maximal A050376-factor could be much greater than n. For example, for n=18, it is 65536.

%C Essentially, a(n) is A177334 with duplicates removed. - _Ivan Neretin_, May 31 2016

%e 81 is in the sequence, since 9! = 2*4*5*7*16*81.

%Y Cf. A240537, A240606, A240619, A240620, A240668, A240669, A240670, A240672, A240695, A240751, A240755, A240764, A240905.

%K nonn

%O 2,1

%A _Vladimir Shevelev_, Apr 14 2014

%E a(9) from A177334 by _Robert Price_, Aug 31 2019

%E a(10)-a(12) from _Amiram Eldar_, Sep 17 2019