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.

Showing 1-3 of 3 results.

A103890 a(n) = prime(n)! / prime(n)# + 1.

Original entry on oeis.org

2, 2, 5, 25, 17281, 207361, 696729601, 12541132801, 115880067072001, 1366643159020339200001, 40999294770610176000001, 1854768736099424576471040000001, 109950690675973888893203251200000001, 4617929008390903333514536550400000001
Offset: 1

Views

Author

Reinhard Zumkeller, Feb 20 2005

Keywords

Crossrefs

Programs

  • Mathematica
    #[[1]]/#[[2]]&/@With[{nn=15},Thread[{Prime[Range[nn]]!,FoldList[ Times,Prime[ Range[nn]]]}]]+1 (* Harvey P. Dale, May 21 2019 *)
  • PARI
    a(n) = prime(n)!/vecprod(primes(n)) + 1; \\ Michel Marcus, Nov 12 2023

Formula

a(n) = A039716(n)/A002110(n) + 1 = A092435(n) + 1.

A103859 Number of divisors of prime(n)! - prime(n)# + 1.

Original entry on oeis.org

1, 1, 4, 2, 4, 4, 4, 4, 16, 4, 8, 16, 16, 32, 32, 8, 32, 8, 16, 64, 32, 16, 32, 64, 512, 2, 16
Offset: 1

Views

Author

Reinhard Zumkeller, Feb 20 2005

Keywords

Crossrefs

Programs

  • PARI
    a(n) = numdiv(prime(n)! - prod(k=1, n, prime(k)) + 1); \\ Michel Marcus, Nov 06 2022

Formula

a(n) = A000005(A103855(n)).

Extensions

a(27) from Jinyuan Wang, Jun 19 2025

A103895 Sum of divisors of prime(n)! / prime(n)# + 1.

Original entry on oeis.org

3, 3, 6, 31, 18864, 258624, 733755680, 13213440000, 115884221549652, 1372805558801047105280, 40999368670243322750932, 1855053929165456908669711085568, 113895178720398409713058206857404800, 4701294182073054820056713442085236768
Offset: 1

Views

Author

Reinhard Zumkeller, Feb 20 2005

Keywords

Crossrefs

Formula

a(n) = A000203(A103890(n)).
Showing 1-3 of 3 results.