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A194098 Decimal expansion of sum of reciprocals of cousin primes. 4
1, 1, 9, 7, 0, 4, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
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 A021107 A155691

Adjacent sequences:  A194095 A194096 A194097 * A194099 A194100 A194101

KEYWORD

nonn,cons,more

AUTHOR

Kausthub Gudipati, Aug 15 2011

STATUS

approved

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Last modified March 30 18:30 EDT 2017. Contains 284302 sequences.