

A240906


Maximal A050376factors in factorization of factorials over distinct terms of A050376.


6



2, 3, 4, 5, 16, 81, 256, 65536, 4294967296, 18446744073709551616, 340282366920938463463374607431768211456, 115792089237316195423570985008687907853269984665640564039457584007913129639936
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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 A050376factor 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


LINKS

Table of n, a(n) for n=2..13.


EXAMPLE

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.
Sequence in context: A283526 A293824 A095181 * A117885 A030574 A325652
Adjacent sequences: A240903 A240904 A240905 * A240907 A240908 A240909


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



