This site is supported by donations to The OEIS Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 15 20:47 EST 2019. Contains 319184 sequences. (Running on oeis4.)