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

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.

Cf. A336296, A336297.

Sequence in context: A327434 A268037 A248528 * A296247 A201975 A109670

Adjacent sequences: A336490 A336491 A336492 * A336494 A336495 A336496

Keyword

nonn

Author

Michel Marcus, Jul 23 2020

Status

approved