A280298 Numbers with 67 divisors.

73786976294838206464, 30903154382632612361920641803529, 13552527156068805425093160010874271392822265625, 59768263894155949306790119265585619217025149412430681649, 539407797827634189900210968137750826278309533633974732577186113975161

Offset

1,1

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.

Links

Table of n, a(n) for n=1..5.

OEIS Wiki, Index entries for number of divisors

Formula

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

A000005(a(n)) = 67.

Example

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

Mathematica

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

Prog

(PARI) a(n)=prime(n)^66

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280299, A280301, A261700.

Sequence in context: A144134 A172577 A276972 * A321136 A135955 A104840

Adjacent sequences: A280295 A280296 A280297 * A280299 A280300 A280301

Keyword

nonn,easy

Author

Omar E. Pol, Dec 31 2016

Status

approved