A280350 Numbers with 97 divisors.

79228162514264337593543950336, 6362685441135942358474828762538534230890216321, 12621774483536188886587657044524579674771302961744368076324462890625, 1347137238494276547832006567721872890819326613454654477690085519113574118965817601, 9412343651268540526001186511911506574868063110469548823950876000379062365652829504091329792873336961

Offset: 1

Author

Omar E. Pol, Jan 02 2017

Keywords

• nonn
• easy

Comments

Also, 96th 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 = 97.

Examples

			a(1) = 2^96, a(2) = 3^96, a(3) = 5^96, a(4) = 7^96, a(5) = 11^96.
		

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, A280347, A280349, A261700.

Programs

Magma

[NthPrime(n)^96: n in [1..5]]; // Vincenzo Librandi, Jan 06 2017

Mathematica

With[{p = 25}, Table[Prime[n]^(Prime[p] - 1), {n, 5}]] (* Michael De Vlieger, Jan 02 2017 *)

PARI

a(n)=prime(n)^96

Formula

a(n) = A000040(n)^(97-1) = A000040(n)^96.

A000005(a(n)) = 97.