A133973 Home primes whose homeliness is greater than 9.

77773, 312619, 359929, 364627, 374531, 378997, 379811, 747521, 749711, 771941, 777643, 1173463, 1355021, 1389281, 1929311, 1991153, 2314723, 2315641, 2333797, 2336263, 2337397, 2337547, 2337607, 2337691, 2339929, 2373823, 2389853

Offset: 1

Author

Robert G. Wilson v, Sep 30 2007

Keywords

• nonn
• base

Comments

Number of terms < 10^n: 0, 0, 0, 0, 1, 11, 142, ....

Crossrefs

Cf. A037274, A118756, A133957, A133959, A133961, A133963, A133965, A133967, A133969, A133971, A133975, A133977, A133979.

Programs

Mathematica

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}];
d = 10 - 2; lsu = {}; Do[ If[ lst[[n]] == lst[[n + d]], AppendTo[ lsu, lst[[n]] ]], {n, 188004 - d - 1}]; Take[ Union@ lsu, 30]