A099936 Primes of the form 1 + product of first n prime gaps.

2, 3, 5, 17, 257, 12289, 14155777, 169869313, 4076863489, 32318253138475745281, 12806790724213976503626296721408001, 307362977381135436087031121313792001

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..25

Mathematica

w[n_]=Prime[n+1]-Prime[n] p[n_]=1+Product[w[m], {m, 2, n}] digits=60 a=Delete[Union[Table[If[PrimeQ[p[n]]==True, p[n], 0], {n, 1, digits}]], 1]
Select[FoldList[Times, Differences[Prime[Range[100]]]]+1, PrimeQ] (* Harvey P. Dale, Jan 02 2021 *)

Prog

(PARI) for(n=1, 60, if(isprime(p=prod(m=1, n, prime(m+1)-prime(m))+1), print1(p, ", ")))

Crossrefs

Sequence in context: A087911 A347565 A265426 * A237251 A275584 A092506

Adjacent sequences: A099933 A099934 A099935 * A099937 A099938 A099939

Keyword

nonn,easy

Author

Roger L. Bagula, Nov 12 2004

Extensions

Edited by Klaus Brockhaus, Nov 15 2004

Status

approved