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A133976
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Home primes whose homeliness is 11.
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12
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379811, 1173463, 2314723, 2315641, 2337607, 3182561, 3371237, 3372371, 3376991, 3379997, 3383777, 3411901, 3539857, 3710627, 3779873, 3791453, 3792179, 3795581, 3798737, 3831523, 3898513, 7338269, 7482569, 7539743
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OFFSET
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1,1
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COMMENTS
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Number of terms < 10^n: 0, 0, 0, 0, 0, 1, 24, ... .
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LINKS
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MATHEMATICA
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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]
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CROSSREFS
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Cf. A037274, A118756, A133975, A133956, A133957, A133958, A133960, A133962, A133964, A133966, A133968, A133970, A133972, A133974, A133978.
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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