A050768 Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 1 skipped prime.
6, 20, 48, 112, 320, 1326, 1400, 4165, 4374, 10395, 12852, 15827, 20412, 23232, 24300, 24990, 25000, 27200, 27300, 31407, 33660, 34965, 38480, 41553, 42525, 50688, 53508, 65450, 66000, 68400, 69498
Offset: 0
Keywords
Examples
a(2)=20 + (2+2+5) = ending prime 29. Between 20 and 29 lies exactly one prime 23.
Programs
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Mathematica
aQ[n_]:=NextPrime[NestWhile[#+Total[Times@@@FactorInteger[#]]&,n,!PrimeQ[#]&],-1]==NextPrime[n]; Select[Range[70000],!PrimeQ[#]&&aQ[#]&] (* Jayanta Basu, May 31 2013 *)