Complete the Sequence

2, 3, 5, 9, 17, _ What is the next number in the sequence?




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Below, you can see some coding:
January = 1017
February = 628
March = 1335
April = 145
May = 1353
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Now deciphering the way it has been coded, can you find out how September will be coded?

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In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.