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A133974
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Home primes whose homeliness is 10.
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12
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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
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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, 1, 7, 82, ... .
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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 = 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]
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CROSSREFS
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Cf. A037274, A118756, A133973, A133956, A133957, A133958, A133960, A133962, A133964, A133966, A133968, A133970, A133972, A133976, 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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