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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Number of terms < 10^n: 0, 0, 0, 0, 1, 7, 82, ....
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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 = 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
| Cf. A037274, A118756, A133973, A133956, A000014, A133958, A133960, A133962, A133964, A133966, A133968, A133970, A133972, A133976, A133978.
Sequence in context: A087026 A133971 A133973 * A061528 A051302 A145553
Adjacent sequences: A133971 A133972 A133973 * A133975 A133976 A133977
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 30 2007
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