A133974
Home primes whose homeliness is 10.
Original entry on oeis.org
77773, 312619, 359929, 364627, 374531, 749711, 771941, 1355021, 1389281, 1929311, 1991153, 2336263, 2337547, 2339929, 2373823, 2389853, 2397127, 3137993, 3139547, 3139733, 3139907, 3235471, 3312539, 3313631, 3316661
Offset: 1
Cf.
A037274,
A118756,
A133973,
A133956,
A133957,
A133958,
A133960,
A133962,
A133964,
A133966,
A133968,
A133970,
A133972,
A133976,
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 = 10 - 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]
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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