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A047658 Numbers n such that the initial n digits in decimal portion of Pi form a prime number. 8
5, 12, 281, 547 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Rivera conjectures that this sequence is finite. - Rivera

Rivera's conjecture that this sequence is finite conflicts with heuristics; the next entry is almost certainly 6205, since Floor[(Pi-3)*10^6205] is (very) probably prime, though its proof may take decades - David Broadhurst, Nov 08 2000

Floor[(Pi-3)*10^6205] is a strong pseudoprime to all (1229) prime bases a < 10000 (the test took 45 minutes) - Joerg Arndt, Jan 16 2011.

LINKS

Table of n, a(n) for n=1..4.

C. K. Caldwell, Prime Curios: 14159...07021 (547-digits)

EXAMPLE

5 gives 14159 (prime); 12 gives 141592653589 (prime) and so on.

MATHEMATICA

nn=1000; d=RealDigits[Pi-3, 10, nn][[1]]; Select[Range[nn], PrimeQ[FromDigits[Take[d, #]]] &]

CROSSREFS

Cf. A064118.

Sequence in context: A009754 A096314 A195538 * A146542 A116058 A025580

Adjacent sequences:  A047655 A047656 A047657 * A047659 A047660 A047661

KEYWORD

nice,nonn,base

AUTHOR

Carlos B. Rivera F. (crivera(AT)primepuzzles.net)

STATUS

approved

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Last modified May 19 02:47 EDT 2013. Contains 225428 sequences.