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A280301
Numbers with 73 divisors.
6
4722366482869645213696, 22528399544939174411840147874772641, 211758236813575084767080625169910490512847900390625, 7031676478883553279994550741476882515263791803223057265323201, 955593817727321453093807642925081991552428315714137911219172409259950196321
OFFSET
1,1
COMMENTS
Also, 72nd 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 = 73.
FORMULA
a(n) = A000040(n)^(73-1) = A000040(n)^72.
A000005(a(n)) = 73.
EXAMPLE
a(1) = 2^72, a(2) = 3^72, a(3) = 5^72, a(4) = 7^72, a(5) = 11^72.
MATHEMATICA
Array[Prime[#]^72 &, {5}] (* Michael De Vlieger, Dec 31 2016 *)
PROG
(PARI) a(n)=prime(n)^72
KEYWORD
nonn,easy
AUTHOR
Omar E. Pol, Dec 31 2016
STATUS
approved