|
|
A133959
|
|
Home primes whose homeliness is greater than 2.
|
|
12
|
|
|
211, 223, 311, 337, 373, 379, 389, 547, 571, 773, 1123, 1129, 1153, 1319, 1931, 2237, 2311, 2341, 2347, 2371, 2383, 2389, 2557, 2719, 2797, 2953, 2971, 3137, 3167, 3181, 3191, 3251, 3257, 3313, 3329, 3331, 3347, 3359, 3373, 3389, 3449, 3457, 3461, 3463
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Number of terms < 10^n: 0, 0, 10, 91, 658, 5076, 39095, ....
|
|
LINKS
|
|
|
EXAMPLE
|
{4, 22, 211} -> 211, 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, 10^7}];
d = 3 - 2; lsu = {}; Do[ If[ lst[[n]] == lst[[n + d]], AppendTo[ lsu, lst[[n]] ]], {n, 188004 - d - 1}]; Take[ Union@ lsu, 45]
|
|
CROSSREFS
|
Cf. A037274, A118756, A133957, A133961, A133963, A133965, A133967, A133969, A133971, A133973, A133975, A133977, A133979.
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|