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A133970
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Home primes whose homeliness is 8.
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12
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3761, 13367, 31397, 132953, 233743, 233911, 313829, 333857, 333923, 337397, 337487, 337661, 337907, 357727, 370451, 373753, 374159, 375407, 375979, 379433, 379859, 383557, 397673, 397751, 397829, 399241, 409823, 473659, 616789, 733331
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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, 1, 3, 33, 318, ....
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LINKS
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Table of n, a(n) for n=1..30.
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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 = 8 - 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, A133969, A133956, A000014, A133958, A133960, A133962, A133964, A133966, A133968, A133972, A133974, A133976, A133978.
Sequence in context: A178162 A133967 A133969 * A137790 A108179 A080953
Adjacent sequences: A133967 A133968 A133969 * A133971 A133972 A133973
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v, Sep 30 2007
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STATUS
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approved
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