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A133966
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Home primes whose homeliness is 6.
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12
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3389, 23929, 31193, 37199, 37463, 37547, 37607, 37717, 37853, 37907, 41863, 41887, 41941, 73331, 74759, 74771, 77269, 77797, 83383, 112909, 114773, 131321, 131783, 132971, 134753, 191231, 193463, 223241, 223313, 223331, 223337, 223547, 231277
(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, 1, 19, 197, 1422, ....
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EXAMPLE
| Only (118, 259, 737, 801, 1167, 3389) -> 3389, etc.
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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 = 6 - 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, A133965, A133956, A000014, A133958, A133960, A133962, A133964, A133968, A133970, A133972, A133974, A133976, A133978.
Sequence in context: A116352 A153746 A133965 * A043671 A172788 A185573
Adjacent sequences: A133963 A133964 A133965 * A133967 A133968 A133969
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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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