%I #5 Apr 28 2015 14:57:00
%S 379,773,1129,2347,2383,2389,3137,3251,3331,3359,3373,3389,3593,3719,
%T 3761,3767,3797,4397,4759,7331,7457,7523,7541,7547,7823,7853,11251,
%U 13367,13883,17137,17317,19157,19181,22367,22397,23131,23167,23173
%N Home primes whose homeliness is greater than 3.
%C Number of terms < 10^n: 0, 0, 2, 26, 221, 1843, 14516, ....
%e (42,74,237,379) -> 379, etc.
%t lst = {}; f[n_] := FromDigits@ Flatten[ IntegerDigits@ Table[ #[[1]], {#[[2]]}] & /@ FactorInteger@n, 2]; h[n_] := NestWhileList[f@# &, n, !PrimeQ@# &, 1, 28]; Do[p = h[n][[ -1]]; If[ PrimeQ@p && p < 10^7 && p != n, Print[{n, p}]; AppendTo[lst, p]], {n, 2, 1000}];
%t d = 4 - 2; lsu = {}; Do[ If[ lst[[n]] == lst[[n + d]], AppendTo[ lsu, lst[[n]] ]], {n, 188004 - d - 1}]; Take[ Union@ lsu, 40]
%Y Cf. A037274, A118756, A133957, A133959, A133963, A133965, A133967, A133969, A133971, A133973, A133975, A133977, A133979.
%K nonn,base
%O 1,1
%A _Robert G. Wilson v_, Sep 30 2007
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