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A133961 Home primes whose homeliness is greater than 3. +0
13
379, 773, 1129, 2347, 2383, 2389, 3137, 3251, 3331, 3359, 3373, 3389, 3593, 3719, 3761, 3767, 3797, 4397, 4759, 7331, 7457, 7523, 7541, 7547, 7823, 7853, 11251, 13367, 13883, 17137, 17317, 19157, 19181, 22367, 22397, 23131, 23167, 23173 (list; graph; listen)
OFFSET

1,1

COMMENT

Number of terms < 10^n: 0, 0, 2, 26, 221, 1843, 14516, ....

EXAMPLE

(42,74,237,379) -> 379, etc.

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 = 4 - 2; lsu = {}; Do[ If[ lst[[n]] == lst[[n + d]], AppendTo[ lsu, lst[[n]] ]], {n, 188004 - d - 1}]; Take[ Union@ lsu, 40]

CROSSREFS

Cf. A037274, A118756, A133957, A133959, A133963, A133965, A133967, A133969, A133971, A133973, A133975, A133977, A133979.

Sequence in context: A142207 A058995 A142752 this_sequence A133962 A027503 A099728

Adjacent sequences: A133958 A133959 A133960 this_sequence A133962 A133963 A133964

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 30 2007

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.


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