# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a084071 Showing 1-1 of 1 %I A084071 #8 Mar 26 2024 13:22:28 %S A084071 68198461,115084901,138358573,156811273,213397621,220576331,234432217, %T A084071 260050573,282261961,290996753,330864497,353653063,371500819, %U A084071 383616341,406915273,426240379,445800983,446707201,449558323,460339577,472782553 %N A084071 Class 12+ primes. %D A084071 R. K. Guy, Unsolved Problems in Number Theory, A18. %H A084071 R. J. Mathar, Table of n, a(n) for n = 1..51 %p A084071 For Maple program see Mathar link in A005105. %t A084071 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[25000000], ClassPlusNbr[ Prime[ # ]] == 12 &]] %Y A084071 Cf. A005113, A005105, A005106, A005107, A005108, A081633, A081634, A081635, A081636, A081637, A081638, A081639. %K A084071 nonn %O A084071 1,1 %A A084071 _Robert G. Wilson v_, Mar 20 2003 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE