A194098 Decimal expansion of sum of reciprocals of cousin primes.

1, 1, 9, 7, 0, 4, 4, 9

Offset

1,3

Comments

The value is obtained by summing cousin prime pairs with values less than 2^42 (which yields 1.10633...) and a logarithmic extrapolation of Brun's constant A065421.

The estimate by [Park-Lee] is 1.197054+-7e-6. - R. J. Mathar, Feb 09 2013

References

Yeonyong Park, Heonsoo Lee, On the several differences between primes, J. Appl. Math. & Computing 13 (2003) vol 1-2, pp 37-51.

Links

Table of n, a(n) for n=1..8.

Prime Curios!, Sum of reciprocals of cousin primes

Marek Wolf, On the Twin and Cousin Primes, (1996) IFTUWr 909/96

Marek Wolf, Generalized Brun's constants, (1997) IFTUWr 910/97

Eric E. Weisstein, MathWorld: Cousin primes

Formula

Equals 1.1970449... = (1/7+1/11)+(1/13+1/17)+.. = sum_{n>=2) (1/A023200(n) +1/A046132(n)).

Crossrefs

Sequence in context: A086819 A019885 A199078 * A145422 A341332 A021107

Adjacent sequences: A194095 A194096 A194097 * A194099 A194100 A194101

Keyword

nonn,cons,more

Author

Kausthub Gudipati, Aug 15 2011

Status

approved