A280301 Numbers with 73 divisors.

4722366482869645213696, 22528399544939174411840147874772641, 211758236813575084767080625169910490512847900390625, 7031676478883553279994550741476882515263791803223057265323201, 955593817727321453093807642925081991552428315714137911219172409259950196321

Offset

1,1

Comments

Also, 72nd 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 = 73.

Links

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

OEIS Wiki, Index entries for number of divisors

Formula

a(n) = A000040(n)^(73-1) = A000040(n)^72.

A000005(a(n)) = 73.

Example

a(1) = 2^72, a(2) = 3^72, a(3) = 5^72, a(4) = 7^72, a(5) = 11^72.

Mathematica

Array[Prime[#]^72 &, {5}] (* Michael De Vlieger, Dec 31 2016 *)

Prog

(PARI) a(n)=prime(n)^72

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280346, A280347, A280349, A261700.

Sequence in context: A037017 A337094 A076335 * A115542 A343266 A330009

Adjacent sequences: A280298 A280299 A280300 * A280302 A280303 A280304

Keyword

nonn,easy

Author

Omar E. Pol, Dec 31 2016

Status

approved