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A240906
Maximal A050376-factors in factorization of factorials over distinct terms of A050376.
6
2, 3, 4, 5, 16, 81, 256, 65536, 4294967296, 18446744073709551616, 340282366920938463463374607431768211456, 115792089237316195423570985008687907853269984665640564039457584007913129639936
OFFSET
2,1
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
EXAMPLE
81 is in the sequence, since 9! = 2*4*5*7*16*81.
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Apr 14 2014
EXTENSIONS
a(9) from A177334 by Robert Price, Aug 31 2019
a(10)-a(12) from Amiram Eldar, Sep 17 2019
STATUS
approved