A133970 Home primes whose homeliness is 8.

3761, 13367, 31397, 132953, 233743, 233911, 313829, 333857, 333923, 337397, 337487, 337661, 337907, 357727, 370451, 373753, 374159, 375407, 375979, 379433, 379859, 383557, 397673, 397751, 397829, 399241, 409823, 473659, 616789, 733331

Offset: 1

Author

Robert G. Wilson v, Sep 30 2007

Keywords

• nonn
• base

Comments

Number of terms < 10^n: 0, 0, 0, 1, 3, 33, 318, ... .

Crossrefs

Cf. A037274, A118756, A133969, A133956, A133957, A133958, A133960, A133962, A133964, A133966, A133968, A133972, A133974, A133976, A133978.

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 = 8 - 2; lsu = {}; Do[ If[ lst[[n]] == lst[[n + d]] && lst[[n - 1]] != lst[[n]] && lst[[n]] != lst[[n + d + 1]], AppendTo[lsu, lst[[n]]]], {n, 188004 - d - 1}]; Take[Union@ lsu, 35]