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A133955
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The smallest prime p for which there is an integer m such that the home sequence of m has n terms and terminates at p.
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1
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2, 23, 211, 773, 773, 13367, 3411949, 236122171, 3129706267, 3314192745739, 711114155396657, 331149818444273, 3331113965338635107, 3331113965338635107, 7241721710291471119, 3318308475676071413
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Starting number is: 2, 6, 4, 25, 10, 14, 45, 91, 78, 40, 150, 135, 126, 8, 104, 20, 212, 86, 87, 65, 340, 604, 894, 341, 123, 105, 345, 1810, ..., . - Robert G. Wilson v, Sep 22 2007.
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LINKS
| P. De Geest, Home Primes < 100 and Beyond
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EXAMPLE
| 23 is the home prime of both 6 and 23, thus a(2) = 23; 211 is the home prime of 6, 22 and 211, thus a(3) = 211.
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MATHEMATICA
| t = Table[0, {28}]; f[n_] := FromDigits@ Flatten[ IntegerDigits@ Table[ #[[1]], { #[[2]] }] & /@ FactorInteger@n, 2]; h[n_] := NestWhileList[f@# &, n, !PrimeQ@# &, 1, 28]; Do[ a = h@n; If[ t[[Length@a]] == 0, t[[Length@a]] = a[[ -1]]; Print[{Length@a, n, a[[ -1]]}]], {n, 2, 2500}]; t (* Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 22 2007 *)
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CROSSREFS
| Cf. A037274, A118756.
Sequence in context: A198851 A173341 A118756 * A062600 A069590 A024028
Adjacent sequences: A133952 A133953 A133954 * A133956 A133957 A133958
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KEYWORD
| nonn
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AUTHOR
| William Lindgren (william.lindgren(AT)sru.edu) & Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 30 2007
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