A133976 Home primes whose homeliness is 11.

379811, 1173463, 2314723, 2315641, 2337607, 3182561, 3371237, 3372371, 3376991, 3379997, 3383777, 3411901, 3539857, 3710627, 3779873, 3791453, 3792179, 3795581, 3798737, 3831523, 3898513, 7338269, 7482569, 7539743

Offset

1,1

Comments

Number of terms < 10^n: 0, 0, 0, 0, 0, 1, 24, ... .

Links

Table of n, a(n) for n=1..24.

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 = 11 - 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, 31]

Crossrefs

Cf. A037274, A118756, A133975, A133956, A133957, A133958, A133960, A133962, A133964, A133966, A133968, A133970, A133972, A133974, A133978.

Sequence in context: A133977 A133978 A159265 * A286009 A295454 A273772

Adjacent sequences: A133973 A133974 A133975 * A133977 A133978 A133979

Keyword

nonn,base

Author

Robert G. Wilson v, Sep 30 2007

Status

approved