A062271 Denominators in partial products of the twin prime constant.

4, 64, 256, 1024, 16384, 4194304, 452984832, 603979776, 1073741824, 64424509440, 16698832846848, 8906044184985600, 2244323134616371200, 4588393964104581120, 24471434475224432640, 32628579300299243520

Offset: 2

Author

Frank Ellermann, Jun 16 2001

Keywords

• easy
• nonn
• frac

Examples

			a(4)= 256= 2*2*4*4*6*6 / gcd( 3*1*5*3*7*5, 2*2*4*4*6*6 ).
		

References

• Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 84-94.
• G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, ch. 22.20

Links

• Steven R. Finch, Hardy-Littlewood Constants [Broken link]
• Steven R. Finch, Hardy-Littlewood Constants [From the Wayback machine]

Crossrefs

A062270 (numerators), A005597 (decimal expansion).

Formula

a(n)= a(n-1)*(p(n)-1)^2 / gcd( A062270(n), a(n-1)*(p(n)-1)^2 ) for n > 2.