cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A280349 Numbers with 89 divisors.

Original entry on oeis.org

309485009821345068724781056, 969773729787523602876821942164080815560161, 32311742677852643549664402033982923967414535582065582275390625, 233683216210633558353880137011125430143959282107856711392134007594290612801, 43909277783870034878569768760415886733743786946105343887995366053338664170638348798300219681
Offset: 1

Views

Author

Omar E. Pol, Jan 01 2017

Keywords

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.

Examples

			a(1) = 2^88, a(2) = 3^88, a(3) = 5^88, a(4) = 7^88, a(5) = 11^88.

Links

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280301, A280346, A280347, A261700.

Programs

  • Mathematica
    With[{p = 24}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* Michael De Vlieger, Jan 01 2017 *)
  • PARI
    a(n)=prime(n)^88

Formula

a(n) = A000040(n)^(89-1) = A000040(n)^88.
A000005(a(n)) = 89.

A280350 Numbers with 97 divisors.

Original entry on oeis.org

79228162514264337593543950336, 6362685441135942358474828762538534230890216321, 12621774483536188886587657044524579674771302961744368076324462890625, 1347137238494276547832006567721872890819326613454654477690085519113574118965817601, 9412343651268540526001186511911506574868063110469548823950876000379062365652829504091329792873336961
Offset: 1

Views

Author

Omar E. Pol, Jan 02 2017

Keywords

Comments

Also, 96th 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 = 97.

Examples

			a(1) = 2^96, a(2) = 3^96, a(3) = 5^96, a(4) = 7^96, a(5) = 11^96.

Links

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280301, A280346, A280347, A280349, A261700.

Programs

  • Magma
    [NthPrime(n)^96: n in [1..5]]; // Vincenzo Librandi, Jan 06 2017
  • Mathematica
    With[{p = 25}, Table[Prime[n]^(Prime[p] - 1), {n, 5}]] (* Michael De Vlieger, Jan 02 2017 *)
  • PARI
    a(n)=prime(n)^96

Formula

a(n) = A000040(n)^(97-1) = A000040(n)^96.
A000005(a(n)) = 97.
Previous Showing 11-12 of 12 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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