A209328 Decimal expansion of the sum of the inverse twin prime products.

1, 0, 7, 9, 8, 3, 9, 7, 4, 9, 5

Offset: 0

Author

R. J. Mathar, Jan 19 2013

Keywords

• nonn
• cons
• more

Comments

Summation up to the lesser prime(100000) gives 0.1079839703839.., summation up to the lesser prime(5000000) gives 0.10798397490956.. and summation up to the lesser prime(100000000) gives 0.107983974949..

The constant splits Brun's constant B=A065421 into two portions: define L=Sum_{n>=1} 1/A001359(n) and U=Sum_{n>=1} 1/A006512(n). Then B=U+L and this constant here = (L-U)/2. This leads to the estimates L=1.059064 and U=0.843096. - R. J. Mathar, Feb 05 2013

Examples

			0.10798397495... = 1/(3*5) + 1/(5*7) + 1/(11*13) + .. = Sum_{n>=1} 1/A037074(n).
		

Crossrefs

Cf. A001359, A006512, A037074, A065421.