E369 -- Quomodo numeri praemagni sint explorandi, utrum sint primi necne

(How very large numbers are to be tested for whether they are prime or not)


Summary:

Euler uses representations in the form xx+yy to determine whether or not numbers are prime. He finds factors of several large numbers. He presents several theorems, without proofs, about the forms of x that allow xx+yy to satisfy certain congruences.

According to the records, it was presented to the St. Petersburg Academy on December 19, 1765.

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