The two sequences given below are related in some manner. Extricate that connection and find the next five terms in each of these sequences. The title provides a clue in this respect.
(A) 247, 364, 481, 715, 832, 1066, 1183, 1417, .....
(B) 874, 1387, 1558, 1729, 2584, 2755, 2926, 3097, .....
*** None of the two sequences is part of the collection in
OEIS.
(In reply to
re: solution by K Sengupta)
I believe you may have misunderstood my explanation of property P, as it would not allow for 256. To better explain what I meant by property P:
let sod(x) be the sum of the digits of x. The x satisfies property P if and only if sod(x) is a prime factor of x.
Combining this with the restriction that sod(x)=13 gives exactly sequence A. Also, combining this with sod(x)=19 gives exactly sequence B.

Posted by Daniel
on 20130803 22:30:58 