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A280346 Numbers with 79 divisors. 4

%I #8 Jan 02 2017 04:35:03

%S 302231454903657293676544,16423203268260658146231467800709255289,

%T 3308722450212110699485634768279851414263248443603515625,

%U 827269706064171159838078900184013751038269841857389464208009274449,1692892739326831320764318961708001178036611459414853872137348292520966629744627081

%N Numbers with 79 divisors.

%C Also, 78th powers of primes.

%C 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 = 79.

%H OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>

%F a(n) = A000040(n)^(79-1) = A000040(n)^78.

%F A000005(a(n)) = 79.

%e a(1) = 2^78, a(2) = 3^78, a(3) = 5^78, a(4) = 7^78, a(5) = 11^78.

%t With[{p = 22}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* _Michael De Vlieger_, Jan 01 2017 *)

%o (PARI) a(n)=prime(n)^78

%Y Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280301, A280347, A280349, A261700.

%K nonn,easy

%O 1,1

%A _Omar E. Pol_, Jan 01 2017

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Last modified April 25 09:35 EDT 2024. Contains 371967 sequences. (Running on oeis4.)