A005106 Class 2+ primes (for definition see A005105). (Formerly M4889)

13, 19, 29, 41, 43, 59, 61, 67, 79, 83, 89, 97, 101, 109, 131, 137, 139, 149, 167, 179, 197, 199, 211, 223, 229, 239, 241, 251, 263, 269, 271, 281, 283, 293, 307, 317, 349, 359, 367, 373, 419, 433, 439, 449, 461, 479, 499, 503, 509, 557, 563, 577, 587, 593

Offset

1,1

References

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

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

Links

T. D. Noe, Table of n, a(n) for n=1..10000

Formula

{prime(n): A126433(n) = 2}. - R. J. Mathar, Mar 26 2024

Maple

For Maple program see Mathar link in A005105.

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[120], ClassPlusNbr[ Prime[ # ]] == 2 &]]

Crossrefs

Cf. A005113, A005105, A005107, A005108.

Sequence in context: A073620 A089391 A038954 * A120140 A101849 A141562

Adjacent sequences: A005103 A005104 A005105 * A005107 A005108 A005109

Keyword

nonn

Author

N. J. A. Sloane, Simon Plouffe

Extensions

Edited and extended by Robert G. Wilson v, Mar 20 2003

Status

approved