Problems & Puzzles: Conjectures

Conjecture 74. What is true assuming valid this...

John W. Nicholson pointed out the following question posed in the following web page, that I simply copy here for our readers:

What can be proved if the conjecture that

Mn+1/Mn <=2 and lim[(Mn+1/Mn)=1] as n->infinite

is assumed to be true?

Q. In particular, does this conjecture prove Shanks in [2], the "Cramér's model"[3], or something else?

 See  the definition of Mn in the mentioned page.

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