# Sequence with sum of digits

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)

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

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

• Lol beat me to it. I came a little late since I was busy answering another puzzle! Nov 15, 2020 at 15:16
• @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. Nov 15, 2020 at 15:31