

A337494


Smallest m such that prime(3*n)# can be written as a product of n sphenic numbers each <= m.


0



30, 182, 627, 1705, 3741, 7285, 13039, 21889, 33611, 51389, 74497, 104081, 140491, 188641, 246089, 312547, 394831, 491713, 604283, 736189, 886937, 1058581, 1249331, 1474531
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OFFSET

1,1


COMMENTS

a(n) >= ceiling((prime(3*n)#)^(1/n)).  Chai Wah Wu, Sep 24 2020


LINKS



EXAMPLE

a(4) = 1705.
p(3*4)#, which is the product of the first 12 primes, can be written as
s1 * s2 * s3 * s4 with
s1 = 5 * 11 * 31 = 1705,
s2 = 2 * 23 * 37 = 1702,
s3 = 3 * 19 * 29 = 1653,
s4 = 7 * 13 * 17 = 1547.
No such factorization is possible in sphenic numbers that are all < 1705.


CROSSREFS



KEYWORD

nonn,more


AUTHOR



STATUS

approved



