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A005107 Class 3+ primes.
(Formerly M5261)
+0
23
37, 103, 113, 151, 157, 163, 173, 181, 193, 227, 233, 257, 277, 311, 331, 337, 347, 353, 379, 389, 397, 401, 409, 421, 457, 463, 467, 487, 491, 521, 523, 541, 547, 569, 571, 601, 607, 613, 631, 653, 683, 701, 727, 733, 773, 787, 797, 811, 821, 829, 853, 857 (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.

MAPLE

For Maple program see Mathar link.

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]]; ClassPlusNbr[n_] := Length[ NestWhileList[f, n, UnsameQ, All]] - 3; Prime[ Select[ Range[150], ClassPlusNbr[ Prime[ # ]] == 3 &]]

CROSSREFS

Cf. A005113, A005105, A005106, A005108.

Sequence in context: A142941 A105019 A090496 this_sequence A139934 A142051 A033215

Adjacent sequences: A005104 A005105 A005106 this_sequence A005108 A005109 A005110

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

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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