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Non Sloane Surmise (Posted on 2013-08-02) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
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re(2): solution | Comment 3 of 4 |
(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 2013-08-03 22:30:58

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