Adnotata quaedam de numeris eorumque anatomia  

Year of Conception:    Dec. 1757 and 1767-1768
Year of Writing:            April 1769
Year of Publication:    1769

Number Theory, Periodic Decimals

Adnotata quaedam de numeris eorumque anatomia. Nova Acta Eruditorum, Annum 1769, 107-128.(7)


Lambert takes up periodic decimals again (after his 1758-paper). He now puts Fermat's little theorem (with proof) into the right context, shows that it can be used as a primality criterium and how the theory of periodic decimals follows from Fermat's theorem. Thoughts on how periodic decimals may be used to factor number of the form 10n-1 end the paper.

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