

A194098


Decimal expansion of sum of reciprocals of cousin primes.


4




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 [ParkLee] is 1.197054+7e6.  R. J. Mathar, Feb 09 2013


REFERENCES

Yeonyong Park, Heonsoo Lee, On the several differences between primes, J. Appl. Math. & Computing 13 (2003) vol 12, pp 3751.


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 A021107 A155691
Adjacent sequences: A194095 A194096 A194097 * A194099 A194100 A194101


KEYWORD

nonn,cons,more


AUTHOR

Kausthub Gudipati, Aug 15 2011


STATUS

approved



