A337494 Smallest m such that prime(3*n)# can be written as a product of n sphenic numbers each <= m.

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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..24.

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

Cf. A002110, A007304.

Sequence in context: A156318 A042758 A071311 * A265037 A249001 A249466

Adjacent sequences: A337491 A337492 A337493 * A337495 A337496 A337497

Keyword

nonn,more

Author

Bert Dobbelaere, Aug 29 2020

Status

approved