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.

A066269 Indices of primes in A066268.

Original entry on oeis.org

2, 3, 33
Offset: 1

Views

Author

Patrick De Geest, Dec 16 2001

Keywords

Comments

The 33rd term, prime 16268...99999, contains 759 digits.
Next term is bigger than 150. - Stefan Steinerberger, May 06 2007
Next term is bigger than 450. - Michael S. Branicky, Nov 14 2024

Crossrefs

Programs

  • Mathematica
    Select[Range[65], PrimeQ[Product[Product[Prime[i],{i,1,n}],{n,1,#}]-1]&] (* Stefan Steinerberger, Apr 12 2006 *)

Extensions

Offset changed from 0 to 1 by Harry J. Smith, Feb 08 2010

A066266 Product of first n primorials + 1.

Original entry on oeis.org

3, 13, 361, 75601, 174636001, 5244319080001, 2677277333530800001, 25968760179275365452000001, 5793445238736255798985527240000001, 37481813439427687898244906452608585200000001, 7517370874372838151564668004911177464757864076000000001
Offset: 1

Views

Author

Patrick De Geest, Dec 16 2001

Keywords

Examples

			a(3)=361 since 361 = (2)*(2*3)*(2*3*5) + 1.
		

Crossrefs

Programs

  • Mathematica
    Table[Times@@Table[Times@@Prime[Range[n]],{n,k}]+1,{k,40}] (* Jayanta Basu, May 12 2013 *)
    Rest[FoldList[Times,1,Rest[FoldList[Times,1,Prime[Range[10]]]]]]+1 (* Harvey P. Dale, Sep 16 2013 *)
  • PARI
    a(n) = 1 + prod(k=1, n, prime(k)^(n-k+1)) \\ Andrew Howroyd, Dec 10 2024

Formula

a(n) = A006939(n) + 1. - Andrew Howroyd, Dec 10 2024

Extensions

Offset changed from 0 to 1 by Harry J. Smith, Feb 08 2010

A066267 Numbers k such that A066266(k) is prime.

Original entry on oeis.org

1, 2, 5, 12, 15, 35
Offset: 1

Views

Author

Patrick De Geest, Dec 16 2001

Keywords

Comments

The next term, if it exists, is greater than 120. - Dmitry Kamenetsky, May 11 2009
The next term, if it exists, is greater than 400. - Michael S. Branicky, Aug 08 2024

Crossrefs

Programs

  • Mathematica
    t={}; Do[If[PrimeQ[Times@@Table[Times@@Prime[Range[n]],{n,k}]+1],AppendTo[t,k]],{k,35}]; t (* Jayanta Basu, May 12 2013 *)

Extensions

Offset changed from 0 to 1 by Harry J. Smith, Feb 08 2010
Name simplified by Jon E. Schoenfield, Oct 25 2019
Showing 1-3 of 3 results.