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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(3): solution Comment 4 of 4 |
(In reply to re(2): solution by Daniel)

You are right of course. I indeed misunderstood your comment. Actually, my original intention for the respective sequences was:

(P) The sum of the digits of a sequence is divisible by a prime number.

(Q)All the numbers themselves in that sequence is divisible by that prime number.

In addition to your interpretation of the title, the word "surmise" in the title also served as a mnemonic for "sum".

For large numbers, for example - where the sum of digits =26 in sequence-A, your property P may not match mine.

This opinion is rather redundant since the given numbers are rather small, where the respective "property-P" do match.

Consequently, congratulations on a brilliant deduction at the outset.

Edited on August 3, 2013, 11:27 pm
  Posted by K Sengupta on 2013-08-03 23:16:09

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