A240906 Maximal A050376-factors in factorization of factorials over distinct terms of A050376.

2, 3, 4, 5, 16, 81, 256, 65536, 4294967296, 18446744073709551616, 340282366920938463463374607431768211456, 115792089237316195423570985008687907853269984665640564039457584007913129639936

Offset: 2

Author

Vladimir Shevelev, Apr 14 2014

Keywords

• nonn

Comments

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.

Essentially, a(n) is A177334 with duplicates removed. - Ivan Neretin, May 31 2016

Examples

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

Crossrefs

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

Extensions

a(9) from A177334 by Robert Price, Aug 31 2019

a(10)-a(12) from Amiram Eldar, Sep 17 2019