A280347 Numbers with 83 divisors.

4835703278458516698824704, 1330279464729113309844748891857449678409, 2067951531382569187178521730174907133914530277252197265625, 1986274564260074954771227439341817016242885890299592103563430267952049, 24785642596484137367310393918366845247634028377292875541962916350799472426091085092921

Offset: 1

Author

Omar E. Pol, Jan 01 2017

Keywords

• nonn
• easy

Comments

Also, 82nd 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 = 83.

Examples

			a(1) = 2^82, a(2) = 3^82, a(3) = 5^82, a(4) = 7^82, a(5) = 11^82.
		

Links

• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280301, A280346, A280349, A261700.

Programs

Mathematica

With[{p = 23}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* Michael De Vlieger, Jan 01 2017 *)

PARI

a(n)=prime(n)^82

Formula

a(n) = A000040(n)^(83-1) = A000040(n)^82.

A000005(a(n)) = 83.