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What is the sum of the digits of the numbers $x$ and $y$ in the sequence $335, 333, x, y, 318, 307, 294, ...$?
Source: Handbook of Codes and Sequences with Applications in Communication, Computing and Information Security (Discrete Mathematics and Its Applications)

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It looks like

the differences between the terms are 2, ?, ?, ?, 11, 13

which looks like

the primes.

Therefore,

$x = 330$ and $y = 325$

so the sum of their digits is

$3 + 3 + 0 + 3 + 2 + 5 = 16$

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  • $\begingroup$ Lol beat me to it. I came a little late since I was busy answering another puzzle! $\endgroup$ Nov 15 '20 at 15:16
  • $\begingroup$ @PrinceDeepthinker yeah, happens to me as well. As for my puzzle, I'll add a hint later. I'm not sure if you know about the Follow Questions feature, but it's great for keeping up to date with added hints. $\endgroup$
    – Glorfindel
    Nov 15 '20 at 15:31

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