A336493 - OEIS

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A336493

a(n) is the largest integer x such that x/sopf(x) = prime(n) where sopf(x) is the sum of distinct prime factors of x and prime(n) is the n-th prime.

4, 30, 70, 105, 286, 260, 646, 627, 897, 1798, 1581, 1924, 3526, 2967, 3055, 3339, 7198, 3721, 6164, 10366, 5840, 9717, 10707, 9256, 9409, 20806, 16377, 23326, 16132, 12769, 21844, 26331, 38086, 29607, 44998, 22801, 33284, 40587, 35905, 29929, 64798, 44164, 73726

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OFFSET

1,1

COMMENTS

For the primes p=prime(m) that are in A336297, a(m) = prime(m)^2.

LINKS

Table of n, a(n) for n=1..43.

EXAMPLE

For the 4th prime p=7, the 3 integers (49,84,105) satisfy x/sopf(x)=7, so a(4)=105.

CROSSREFS

Cf. A008472.

Subsequence of A336445.