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A240906
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Maximal A050376-factors in factorization of factorials over distinct terms of A050376.
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6
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2, 3, 4, 5, 16, 81, 256, 65536, 4294967296, 18446744073709551616, 340282366920938463463374607431768211456, 115792089237316195423570985008687907853269984665640564039457584007913129639936
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OFFSET
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2,1
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COMMENTS
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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.
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LINKS
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EXAMPLE
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81 is in the sequence, since 9! = 2*4*5*7*16*81.
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CROSSREFS
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Cf. A240537, A240606, A240619, A240620, A240668, A240669, A240670, A240672, A240695, A240751, A240755, A240764, A240905.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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