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A194098
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Decimal expansion of sum of reciprocals of cousin primes.
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6
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OFFSET
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1,3
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COMMENTS
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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
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REFERENCES
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Yeonyong Park, Heonsoo Lee, On the several differences between primes, J. Appl. Math. & Computing 13 (2003) vol 1-2, pp 37-51.
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LINKS
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FORMULA
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Equals 1.1970449... = (1/7+1/11)+(1/13+1/17)+.. = sum_{n>=2) (1/A023200(n) +1/A046132(n)).
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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