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A081636 Class 8+ primes. 11

%I #7 Jan 13 2014 12:01:21

%S 49681,109441,120103,151561,198733,210193,246241,255043,266401,280243,

%T 295873,326659,326701,347773,355171,360421,368881,397633,397673,

%U 423001,441877,447137,471241,480541,489989,499397,508037,511507,532757,539401

%N Class 8+ primes.

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

%H T. D. Noe, <a href="/A081636/b081636.txt">Table of n, a(n) for n=1..10000</a>

%p For Maple program see Mathar link in A005105.

%t 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[44535], ClassPlusNbr[ Prime[ # ]] == 8 &]]

%Y Cf. A005113, A005105, A005106, A005107, A005108, A081633, A081634, A081635, A081637, A081638, A081639.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Mar 20 2003

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)