A133976
Home primes whose homeliness is 11.
Original entry on oeis.org
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
Cf.
A037274,
A118756,
A133975,
A133956,
A133957,
A133958,
A133960,
A133962,
A133964,
A133966,
A133968,
A133970,
A133972,
A133974,
A133978.
-
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]
A133978
Home primes whose homeliness is 12.
Original entry on oeis.org
378997, 777643, 3127979, 3127997, 3136607, 3173761, 3374729, 3377999, 3759263, 3774161, 3791387, 3943967, 7342469, 7521641, 7540541, 7767709
Offset: 1
Cf.
A037274,
A118756,
A133977,
A133956,
A133957,
A133958,
A133960,
A133962,
A133964,
A133966,
A133968,
A133970,
A133972,
A133974,
A133976.
-
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 = 12 - 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]
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