4
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What’s the next number in the sequence? 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 10, ?

P.S I’m new, so tell me if the question was too hard or too easy.

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5
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How about

5

because

each number in the sequence is the lowest base number where the number of the term (first is 1, second is 2, etc) in that base is a palindrome.

Example:

1 = 1 in base 2
2 = 2 in base 3
3 = 11 in base 2
4 = 11 in base 3
5 = 101 in base 2
6 = 11 in base 5
7 = 111 in base 2
8 = 22 in base 3
9 = 1001 in base 2
10 = 101 in base 3
11 = 11 in base 10
12 = 22 in base 5

Note:

I solved this without OEIS, but OEIS has this sequence as sequence A016026

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  • $\begingroup$ That was fast! Awesome! $\endgroup$ – Arvasu Kulkarni Feb 1 at 14:48

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