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A053013 Positions in decimal expansion of Pi where next prime begins. 6
1, 2, 7, 8, 11, 12, 14, 15, 19, 3076, 3077, 3078, 3081, 3082, 3083, 3831, 3833, 3835, 3836, 3838, 3921, 3926, 3927, 3929, 4000, 4010, 4011, 4012, 4014, 4016, 4018, 4019, 4020, 4023, 4024, 4038, 4040, 4045, 4096, 4097, 4103, 4104, 4110, 4113, 4115, 4124 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence refers to a variant of A047777 in which one does not require that all primes are distinct. See A229181 for first differences of this sequence. - M. F. Hasler, Sep 15 2013

LINKS

Table of n, a(n) for n=1..46.

FORMULA

Partial sums of A229181: a(n)=sum_{k=1...n} A229181(k). - M. F. Hasler, Sep 15 2013

MATHEMATICA

A229181 = {1}; digits = Join[{{1}}, RealDigits[Pi, 10, 5000] // First // Rest]; digits //. {a:({_Integer..}..), b__Integer /; PrimeQ[FromDigits[{b}]], c___Integer} :> (Print[lg = {b} // Length]; AppendTo[A229181, lg]; {{1}, c}) ; Join[{1}, Accumulate[A229181] + 1] (* Jean-François Alcover, Oct 17 2013 *)

CROSSREFS

Sequence in context: A005538 A329648 A206331 * A070044 A129850 A037073

Adjacent sequences: A053010 A053011 A053012 * A053014 A053015 A053016

KEYWORD

nonn,base

AUTHOR

Mark R. Diamond, Feb 22 2000

STATUS

approved

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Last modified December 9 23:05 EST 2022. Contains 358710 sequences. (Running on oeis4.)