A280346 Numbers with 79 divisors.

302231454903657293676544, 16423203268260658146231467800709255289, 3308722450212110699485634768279851414263248443603515625, 827269706064171159838078900184013751038269841857389464208009274449, 1692892739326831320764318961708001178036611459414853872137348292520966629744627081

Offset

1,1

Comments

Also, 78th powers of primes.

More generally, the n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. In this case, p = 79.

Links

Table of n, a(n) for n=1..5.

OEIS Wiki, Index entries for number of divisors

Formula

a(n) = A000040(n)^(79-1) = A000040(n)^78.

A000005(a(n)) = 79.

Example

a(1) = 2^78, a(2) = 3^78, a(3) = 5^78, a(4) = 7^78, a(5) = 11^78.

Mathematica

With[{p = 22}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* Michael De Vlieger, Jan 01 2017 *)

Prog

(PARI) a(n)=prime(n)^78

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280301, A280347, A280349, A261700.

Sequence in context: A008872 A008871 A008915 * A217404 A003813 A003806

Adjacent sequences: A280343 A280344 A280345 * A280347 A280348 A280349

Keyword

nonn,easy

Author

Omar E. Pol, Jan 01 2017

Status

approved