The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A078974 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A078974

Decimal expansion of constant C such that Sum_{k>=1} 1/C^p(k) = 1 where p(k) is the k-th prime.
(history; published version)

#20 by Alois P. Heinz at Wed Apr 20 08:37:20 EDT 2016

STATUS

reviewed

approved

#19 by Wesley Ivan Hurt at Wed Apr 20 08:35:48 EDT 2016

STATUS

proposed

reviewed

#18 by Wesley Ivan Hurt at Wed Apr 20 08:35:42 EDT 2016

STATUS

editing

proposed

#17 by Wesley Ivan Hurt at Wed Apr 20 08:35:31 EDT 2016

NAME

Decimal expansion of constant C such that sum(Sum_{k>=1,} 1/C^p(k)) = 1 where p(k) is the k-th prime.

STATUS

reviewed

editing

#16 by Joerg Arndt at Wed Apr 20 08:21:29 EDT 2016

STATUS

proposed

reviewed

#15 by Jean-François Alcover at Wed Apr 20 07:15:31 EDT 2016

STATUS

editing

proposed

#14 by Jean-François Alcover at Wed Apr 20 07:14:29 EDT 2016

FORMULA

Equals 1/A084256.

EXAMPLE

1.47622878362089696579294399484823329479712276085059327075519...

CROSSREFS

Cf. A078465, A084256.

Discussion

Wed Apr 20

07:15

Jean-François Alcover: Added link to Finch and Xref to A084256

#13 by Jean-François Alcover at Wed Apr 20 07:12:18 EDT 2016

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.5 Kalmar's Composition Constant, p. 293.

STATUS

approved

editing

#12 by Charles R Greathouse IV at Sun Aug 03 16:52:44 EDT 2014

MATHEMATICA

RealDigits[x/.FindRoot[Sum[1/x^Prime[k], {k, 1, 120}] == 1, {x, 1.476}, WorkingPrecision -> 120]][[1, 1 ;; 105]] (* _Jean-François Alcover, _, Mar 22 2011 *)

Discussion

Sun Aug 03

16:52

OEIS Server: https://oeis.org/edit/global/2281

#11 by Russ Cox at Fri Mar 30 18:39:11 EDT 2012

AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, Jan 12 2003

Discussion

Fri Mar 30

18:39

OEIS Server: https://oeis.org/edit/global/216