A280301 Numbers with 73 divisors.

4722366482869645213696, 22528399544939174411840147874772641, 211758236813575084767080625169910490512847900390625, 7031676478883553279994550741476882515263791803223057265323201, 955593817727321453093807642925081991552428315714137911219172409259950196321

Offset: 1

Author

Omar E. Pol, Dec 31 2016

Keywords

• nonn
• easy

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.

Examples

			a(1) = 2^72, a(2) = 3^72, a(3) = 5^72, a(4) = 7^72, a(5) = 11^72.
		

Links

• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280346, A280347, A280349, A261700.

Programs

Mathematica

Array[Prime[#]^72 &, {5}] (* Michael De Vlieger, Dec 31 2016 *)

PARI

a(n)=prime(n)^72

Formula

a(n) = A000040(n)^(73-1) = A000040(n)^72.

A000005(a(n)) = 73.