OFFSET
1,1
COMMENTS
Number of terms below 10^8 is 29.
Obviously each palindromic number k that has at least one zero digit also has the property that k = R(k) + P(k), since R(k)=k and P(k)=0.
All other terms below 10^8 are 59871495, 65814656, 65941756, 95236159, 95871459 and 99429579.
354253 and 1655425561 are the first two prime terms of the sequence.
EXAMPLE
354253 = 352453 + 3*5*4*2*5*3 = reversal(354253) + 3*5*4*2*5*3, so 354253 is a term.
MATHEMATICA
r[n_] := FromDigits[Reverse[IntegerDigits[n]]]; Do[
If[n > r[n] && n == r[n] + Apply[Times, IntegerDigits[n]],
Print[n]], {n, 59500000}]
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Farideh Firoozbakht, May 23 2010
STATUS
approved