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 1-4 of 4 results.

A118748 a(n) = Product_{k=1..n} P(k), where P(k) is the smallest prime >= 2*k.

Original entry on oeis.org

2, 10, 70, 770, 8470, 110110, 1871870, 31821790, 604614010, 13906122230, 319840811290, 9275383527410, 268986122294890, 7800597546551810, 241818523943106110, 8947285385894926070, 331049559278112264590
Offset: 1

Views

Author

Jonathan Vos Post, Apr 29 2006

Keywords

Crossrefs

Cf. A118455, A118456, A118747.

A118754 Smallest prime >= 5*n.

Original entry on oeis.org

2, 5, 11, 17, 23, 29, 31, 37, 41, 47, 53, 59, 61, 67, 71, 79, 83, 89, 97, 97, 101, 107, 113, 127, 127, 127, 131, 137, 149, 149, 151, 157, 163, 167, 173, 179, 181, 191, 191, 197, 211, 211, 211, 223, 223, 227, 233, 239, 241, 251, 251, 257, 263, 269, 271, 277, 281
Offset: 0

Views

Author

Jonathan Vos Post, Apr 29 2006

Keywords

Links

Crossrefs

Cf. A007918, A008587, A060308, A060264, A118747-A118755.

Programs

  • Mathematica
    Table[If[PrimeQ[5n],5n,NextPrime[5n]],{n,0,60}] (* Harvey P. Dale, Nov 29 2024 *)
  • PARI
    a(n) = nextprime(5*n); \\ Michel Marcus, Feb 13 2021

Formula

a(n) = A007918(A008587(n)). - Michel Marcus, Feb 13 2021

A118753 First prime after 4n. Smallest prime >= 4*n. Bisection of A060264.

Original entry on oeis.org

2, 5, 11, 13, 17, 23, 29, 29, 37, 37, 41, 47, 53, 53, 59, 61, 67, 71, 73, 79, 83, 89, 89, 97, 97, 101, 107, 109, 113, 127, 127, 127, 131, 137, 137, 149, 149, 149, 157, 157, 163, 167, 173, 173, 179, 181, 191, 191, 193, 197, 211, 211, 211, 223, 223, 223, 227, 229, 233
Offset: 0

Views

Author

Jonathan Vos Post, Apr 29 2006

Keywords

Comments

Analogous to A060264 First prime after 2n; A118751 First prime after 3n.

Links

Crossrefs

Cf. A000040, A008586, A060308, A060264, A118747-56.

Programs

  • Maple
    seq(nextprime(4*k),k=0..100); # Robert Israel, Dec 25 2017
  • Mathematica
    NextPrime/@(4Range[0,60]) (* Harvey P. Dale, Nov 14 2021 *)

Formula

a(n) = min{A008586(n)+k such that k>0 and A008586(n)+k in A000040}.

A118755 Smallest prime >= 6*n.

Original entry on oeis.org

2, 7, 13, 19, 29, 31, 37, 43, 53, 59, 61, 67, 73, 79, 89, 97, 97, 103, 109, 127, 127, 127, 137, 139, 149, 151, 157, 163, 173, 179, 181, 191, 193, 199, 211, 211, 223, 223, 229, 239, 241, 251, 257, 263, 269, 271, 277, 283, 293, 307, 307
Offset: 0

Views

Author

Jonathan Vos Post, Apr 29 2006

Keywords

Crossrefs

Cf. A007918, A008588, A060308, A060264, A118747-A118754.
A002476 is a subsequence.

Programs

  • Mathematica
    Prime[1+PrimePi[6Range[0,50]]] (* T. D. Noe, Nov 15 2006 *)
NextPrime[6*Range[0,50]] (* Harvey P. Dale, Sep 05 2015 *)
  • PARI
    a(n) = nextprime(6*n); \\ Michel Marcus, Feb 13 2021

Formula

a(n) = A007918(A008588(n)). - Michel Marcus, Feb 13 2021

Extensions

Corrected by T. D. Noe, Nov 15 2006
Showing 1-4 of 4 results.

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

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