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A005110 Class 2- primes.
(Formerly M4783)
+0
14
11, 29, 31, 41, 43, 53, 61, 71, 79, 101, 103, 113, 127, 131, 137, 149, 151, 157, 181, 191, 197, 211, 223, 229, 239, 241, 251, 271, 281, 293, 307, 313, 337, 379, 389, 401, 409, 421, 439, 443, 449, 457, 491, 521, 541, 547, 571, 593, 601, 613, 631, 641, 647, 653, 673 (list; graph; listen)
OFFSET

1,1

REFERENCES

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

R. K. Guy, Unsolved Problems in Number Theory, A18.

LINKS

R. J. Mathar, Table of n, a(n) for n = 1..13766

MATHEMATICA

PrimeFactors[n_Integer] := Flatten[ Table[ #[[1]], {1}] & /@ FactorInteger[n]];

f[n_Integer] := Block[{m = n}, If[m == 0, m = 1, While[ IntegerQ[m/2], m /= 2];

While[ IntegerQ[m/3], m /= 3]];

Apply[Times, PrimeFactors[m] - 1]];

ClassMinusNbr[n_] := Length[NestWhileList[f, n, UnsameQ, All]] - 3;

Prime[ Select[ Range[122], ClassMinusNbr[ Prime[ # ]] == 2 &] ] (* Robert G. Wilson v*)

CROSSREFS

Cf. A005113, A056637, A005109, A005111, A005112, A081424, A081425, A081426, A081427, A081428, A081429, A081430.

Sequence in context: A061086 A034276 A072711 this_sequence A059337 A126240 A124110

Adjacent sequences: A005107 A005108 A005109 this_sequence A005111 A005112 A005113

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 20 2003

Corrected by R. J. Mathar, Feb 01 2007

page 1

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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