%I A005108 M5350
%S A005108 73,313,443,617,661,673,677,691,739,757,823,887,907,941,977,1093,1109,
%T A005108 1129,1201,1213,1303,1361,1447,1453,1543,1553,1621,1627,1657,1753,1811,
%U A005108 1867,1873,1993,1997,2017,2081,2083,2113,2269,2273,2281,2293,2333,2341
%N A005108 Class 4+ primes.
%D A005108 R. K. Guy, Unsolved Problems in Number Theory, A18.
%D A005108 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences,
Academic Press, 1995 (includes this sequence).
%p A005108 For Maple program see Mathar link.
%t A005108 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[350], ClassPlusNbr[ Prime[ # ]] == 4 &]]
%Y A005108 Cf. A005113, A005105, A005106, A005107.
%Y A005108 Sequence in context: A142614 A158744 A142406 this_sequence A142810 A142279
A092342
%Y A005108 Adjacent sequences: A005105 A005106 A005107 this_sequence A005109 A005110
A005111
%K A005108 nonn
%O A005108 1,1
%A A005108 N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A005108 Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 20
2003
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