A280298 Numbers with 67 divisors.

73786976294838206464, 30903154382632612361920641803529, 13552527156068805425093160010874271392822265625, 59768263894155949306790119265585619217025149412430681649, 539407797827634189900210968137750826278309533633974732577186113975161

Offset: 1

Author

Omar E. Pol, Dec 31 2016

Keywords

• nonn
• easy

Comments

Also, 66th 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 = 67.

Examples

			a(1) = 2^66, a(2) = 3^66, a(3) = 5^66, a(4) = 7^66, a(5) = 11^66.
		

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, A280299, A280301, A261700.

Programs

Mathematica

Array[Prime[#]^66 &, {5}] (* Michael De Vlieger, Dec 31 2016 *)

PARI

a(n)=prime(n)^66

Formula

a(n) = A000040(n)^(67-1) = A000040(n)^66.

A000005(a(n)) = 67.