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A108777
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Numbers n such that a^t + b^t + c^t + ... is prime, where a*b*c* ... is the prime factorization of n with multiplicity and t is the reversal of n.
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OFFSET
| 1,1
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EXAMPLE
| a(3)=75 because 75=3*5^2 and 75 reversed is 57 and 3^57 + 5^57 + 5^57 = 13877787807816026798194477932746894440813, a prime.
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MATHEMATICA
| fQ[n_] := PrimeQ[Plus @@ (Flatten[ Table[ #[[1]], {#[[2]]}] & /@ FactorInteger[n]]^FromDigits[ Reverse[ IntegerDigits[ n]] ])]; Do[ If[ fQ[n], Print[n]], {n, 2200}] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 28 2005)
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CROSSREFS
| Cf. A082813.
Sequence in context: A187205 A104045 A102546 * A000132 A060317 A033583
Adjacent sequences: A108774 A108775 A108776 * A108778 A108779 A108780
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KEYWORD
| base,more,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Jun 27 2005
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EXTENSIONS
| 300, 500, 640 from Robert G. Wilson v, Jun 27 2005
4100 and 8300 from Hans Havermann, Jun 29 2005
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