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A280346
Numbers with 79 divisors.
4
302231454903657293676544, 16423203268260658146231467800709255289, 3308722450212110699485634768279851414263248443603515625, 827269706064171159838078900184013751038269841857389464208009274449, 1692892739326831320764318961708001178036611459414853872137348292520966629744627081
OFFSET
1,1
COMMENTS
Also, 78th 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 = 79.
FORMULA
a(n) = A000040(n)^(79-1) = A000040(n)^78.
A000005(a(n)) = 79.
EXAMPLE
a(1) = 2^78, a(2) = 3^78, a(3) = 5^78, a(4) = 7^78, a(5) = 11^78.
MATHEMATICA
With[{p = 22}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* Michael De Vlieger, Jan 01 2017 *)
PROG
(PARI) a(n)=prime(n)^78
KEYWORD
nonn,easy
AUTHOR
Omar E. Pol, Jan 01 2017
STATUS
approved