Problems & Puzzles: Collection 20th

Coll.20th-009. Find the next term of this sequence

On March 28 2018, G. L. Honaker, Jr. wrote:

Find the next term of this sequence:

2, 23, 235, 2357, 12357, 3, 37, 37, 3, 3, 3, 37, ...

Q. Send your best try and argument.


 

Contributions came from Dmitry Kamanetsky and Antoine Verroken.

I won't spoil the efforts/fun of those puzzlers that are still looking for a solution. I will do it in 2-3 weeks.

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Dmiitry and Antoine wrote similarly:

I found the answer to the current puzzle on oeis: 

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