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Answer by aschepler for Find the next number in the given sequence

The next number isWhy:

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Answer by Vassilis Parassidis for Find the next number in the given sequence

All the odd numbers are prime numbers including the the even prime 2. All the even numbers are a product of p*2^n where p a prime and n a positive integer. The next number in the sequence is 1549...

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Find the next number in the given sequence

I created this puzzle. Find the next number in the sequence and the logic behind it.$$2, 1536, 5, 1792, 23, 1184, 53, 1168, 113, 1048, 137, 1384, 179, 1576, 311, 1268, 431, 1234, 719, 2026, 1031, 1097,...

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