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A280349
Numbers with 89 divisors.
4
309485009821345068724781056, 969773729787523602876821942164080815560161, 32311742677852643549664402033982923967414535582065582275390625, 233683216210633558353880137011125430143959282107856711392134007594290612801, 43909277783870034878569768760415886733743786946105343887995366053338664170638348798300219681
OFFSET
1,1
COMMENTS
Also, 88th 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 = 89.
FORMULA
a(n) = A000040(n)^(89-1) = A000040(n)^88.
A000005(a(n)) = 89.
EXAMPLE
a(1) = 2^88, a(2) = 3^88, a(3) = 5^88, a(4) = 7^88, a(5) = 11^88.
MATHEMATICA
With[{p = 24}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* Michael De Vlieger, Jan 01 2017 *)
PROG
(PARI) a(n)=prime(n)^88
KEYWORD
nonn,easy
AUTHOR
Omar E. Pol, Jan 01 2017
STATUS
approved