A280299 - OEIS

A280299

Numbers with 71 divisors.

1180591620717411303424, 2503155504993241601315571986085849, 8470329472543003390683225006796419620513916015625, 143503601609868434285603076356671071740077383739246066639249, 7897469567994392174328988784504809847540729881935024059662581894710332201

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OFFSET

1,1

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.

LINKS

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

OEIS Wiki, Index entries for number of divisors

FORMULA

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

A000005(a(n)) = 71.

EXAMPLE

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

MATHEMATICA

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

PROG

(PARI) a(n)=prime(n)^70

CROSSREFS

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

Sequence in context: A172564 A095438 A115503 * A092118 A257376 A037017

Adjacent sequences: A280296 A280297 A280298 * A280300 A280301 A280302

KEYWORD

nonn,easy

AUTHOR

Omar E. Pol, Dec 31 2016

STATUS

approved