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A005042 Primes formed by the initial digits of the decimal expansion of Pi.
(Formerly M3129)
14
3, 31, 314159, 31415926535897932384626433832795028841 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The next term consists of the first 16208 digits of Pi and is too large to show here (see A060421). Ed T. Prothro found this probable prime in 2001.

Michael Kleber (michael.kleber(AT)gmail.com) observes that a naive probabilistic argument suggests that the sequence is infinite. Jun 23 2004.

REFERENCES

M. Gardner, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Ed T. Prothro, How I Found the Next Pi Prime [Broken link]

Eric Weisstein's World of Mathematics, Pi-Prime

Index entries for sequences related to the number Pi

MAPLE

Digits := 130; n0 := evalf(Pi); for i from 1 to 120 do t1 := trunc(10^i*n0); if isprime(t1) then print(t1); fi; od:

MATHEMATICA

a = {}; Do[k = Floor[Pi 10^n]; If[PrimeQ[k], AppendTo[a, k]], {n, 0, 160}]; a - Artur Jasinski (grafix(AT)csl.pl), Mar 26 2008

CROSSREFS

See A060421 for futher terms.

Sequence in context: A144964 A168678 A118913 * A136582 A173649 A119937

Adjacent sequences:  A005039 A005040 A005041 * A005043 A005044 A005045

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 15 13:48 EST 2012. Contains 205809 sequences.