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 A108777 Numbers m such that a^t + b^t + c^t + ... is prime, where a*b*c* ... is the prime factorization of m with multiplicity and t is the reversal of m. 0
 10, 40, 75, 88, 300, 500, 640, 4100, 8300 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 44800, 93950, 98000, 200000, 220000, 260000, and 361000 are also terms. - Michael S. Branicky, May 20 2024 LINKS Table of n, a(n) for n=1..9. EXAMPLE a(3)=75 because 75=3*5^2 and 75 reversed is 57 and 3^57 + 5^57 + 5^57 = 13877787807816026798194477932746894440813, a prime. MATHEMATICA fQ[n_] := PrimeQ[Plus @@ (Flatten[ Table[ #[[1]], {#[[2]]}] & /@ FactorInteger[n]]^FromDigits[ Reverse[ IntegerDigits[ n]] ])]; Do[ If[ fQ[n], Print[n]], {n, 2200}] (* Robert G. Wilson v, Jun 28 2005 *) CROSSREFS Cf. A082813. Sequence in context: A104045 A102546 A352777 * A000132 A328093 A306830 Adjacent sequences: A108774 A108775 A108776 * A108778 A108779 A108780 KEYWORD base,more,nonn AUTHOR Jason Earls, Jun 27 2005 EXTENSIONS 300, 500, 640 from Robert G. Wilson v, Jun 27 2005 4100 and 8300 from Hans Havermann, Jun 29 2005 STATUS approved

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Last modified August 9 10:37 EDT 2024. Contains 375040 sequences. (Running on oeis4.)