A280299 Numbers with 71 divisors.

1180591620717411303424, 2503155504993241601315571986085849, 8470329472543003390683225006796419620513916015625, 143503601609868434285603076356671071740077383739246066639249, 7897469567994392174328988784504809847540729881935024059662581894710332201

Offset: 1

Author

Omar E. Pol, Dec 31 2016

Keywords

• nonn
• easy

Comments

Also, 70th 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 = 71.

Examples

			a(1) = 2^70, a(2) = 3^70, a(3) = 5^70, a(4) = 7^70, a(5) = 11^70.
		

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, A280301, A261700.

Programs

Mathematica

Array[Prime[#]^70 &, {5}] (* Michael De Vlieger, Dec 31 2016 *)

PARI

a(n)=prime(n)^70

Formula

a(n) = A000040(n)^(71-1) = A000040(n)^70.

A000005(a(n)) = 71.