A194098 Decimal expansion of sum of reciprocals of cousin primes.

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

Offset: 1

Author

Kausthub Gudipati, Aug 15 2011

Keywords

• nonn
• cons
• more

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

• 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)).