A099002 Decimal expansion of Sum_{n>0} Product_{m=1..n} 1/(Prime(m+1)-Prime(m)).

1, 8, 5, 6, 7, 0, 8, 6, 1, 6, 2, 9, 0, 1, 3, 6, 0, 9, 9, 0, 8, 3, 9, 6, 6, 7, 8, 9, 5, 1, 2, 4, 5, 2, 2, 5, 1, 3, 8, 4, 6, 0, 3, 2, 7, 7, 1, 6, 1, 1, 9, 5, 9, 8, 2, 7, 9, 4, 8, 1, 8, 8, 6, 0, 8, 6, 7, 8, 6, 0, 4, 5, 0, 0, 8, 6, 7, 1, 6, 9, 6, 1, 3, 2, 2, 1, 9, 0, 7, 4, 6, 2, 7, 2, 8, 3, 4, 7, 1, 2, 5, 6, 5, 4, 9

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Example

1.85670861629013609908396678951245225138460327716119598279481886086...

Mathematica

RealDigits[ Sum[ Product[1/(Prime[m + 1] - Prime[m]), {m, n}], {n, 160}], 10, 111][[1]] (* Robert G. Wilson v, Nov 09 2004 *)

Crossrefs

Sequence in context: A065415 A154013 A230152 * A365281 A021898 A020786

Adjacent sequences: A098999 A099000 A099001 * A099003 A099004 A099005

Keyword

nonn,cons

Author

Roger L. Bagula, Nov 06 2004

Extensions

Edited by Robert G. Wilson v, Nov 09 2004

Status

approved