The On-Line Encyclopedia of Integer Sequences (OEIS)

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A119334

Indices of Apery-primes: numbers n such that the concatenation of the first n decimal digits of Apery's constant zeta(3) is prime.
(history; published version)

#9 by Harvey P. Dale at Wed Aug 28 11:48:13 EDT 2019

STATUS

editing

approved

#8 by Harvey P. Dale at Wed Aug 28 11:48:11 EDT 2019

COMMENTS

No additional terms up to 10000. - Harvey P. Dale, Aug 28 2019

MATHEMATICA

Module[{nn=10000, z}, z=RealDigits[Zeta[3], 10, nn][[1]]; Select[Range[nn], PrimeQ[FromDigits[Take[z, #]]]&]] (* Harvey P. Dale, Aug 28 2019 *)

STATUS

approved

editing

#7 by Jon E. Schoenfield at Sat Aug 15 14:52:07 EDT 2015

STATUS

editing

approved

#6 by Jon E. Schoenfield at Sat Aug 15 14:52:05 EDT 2015

EXAMPLE

zeta(3) = 1.2020569031595..., 1202056903--the concatenation of the first 10 decimal digits--is prime, so a(1)=10.

AUTHOR

Eric W. Weisstein, May 14, 2006

STATUS

approved

editing

#5 by Russ Cox at Sat Mar 31 12:39:11 EDT 2012

AUTHOR

_Eric W. Weisstein (eric(AT)weisstein.com), _, May 14, 2006

Discussion

Sat Mar 31

12:39

OEIS Server: https://oeis.org/edit/global/877

#4 by Russ Cox at Fri Mar 30 17:28:19 EDT 2012

EXTENSIONS

Edited by _Charles R Greathouse IV (charles.greathouse(AT)case.edu), _, Apr 27 2010

Discussion

Fri Mar 30

17:28

OEIS Server: https://oeis.org/edit/global/147

#3 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

KEYWORD

nonn,more,base,new

EXTENSIONS

Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Apr 27 2010

#2 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

KEYWORD

nonn,more,new

AUTHOR

E. W. Eric Weisstein (eric(AT)weisstein.com), May 14, 2006

#1 by N. J. A. Sloane at Fri May 19 03:00:00 EDT 2006

NAME

Indices of Apery-primes: numbers n such that the concatenation of the first n decimal digits of Apery's constant zeta(3) is prime.

DATA

10, 55, 109, 141

OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Apery-Prime.html">Apery-Prime</a>

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/IntegerSequencePrimes.html">Integer Sequence Primes</a>

EXAMPLE

zeta(3) = 1.2020569031595..., 1202056903--the concatenation of the first 10 decimal digits--is prime, so a(1)=10

CROSSREFS

Cf. A002117, A119333.

KEYWORD

nonn,more,new

AUTHOR

E. W. Weisstein (eric(AT)weisstein.com), May 14, 2006

STATUS

approved