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Search: id:A005042
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| A005042 |
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Primes formed by the initial digits of the decimal expansion of Pi.
(Formerly M3129)
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+0
11
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| 3, 31, 314159, 31415926535897932384626433832795028841
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
M. Gardner, personal communication.
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LINKS
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Index entries for sequences related to the number Pi
Ed T. Prothro, How I Found the Next Pi Prime
Eric Weisstein's World of Mathematics, Pi-Prime
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MAPLE
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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:
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MATHEMATICA
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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
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CROSSREFS
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See A060421 for futher terms.
Sequence in context: A144964 A168678 A118913 this_sequence A136582 A119937 A114257
Adjacent sequences: A005039 A005040 A005041 this_sequence A005043 A005044 A005045
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KEYWORD
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nonn,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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