Chapter XV. Mersenne's Numbers.

Mersenne's Enunciation of the Question
Results already known
Cases awaiting verification ....
Table of Results
History of Investigations
Methods used in attacking the Problem . Lucas's Test by Residues By trial of divisors of known forms By indeterminate equations . By properties of quadratic forms . By the use of a Canon Arithmeticus By properties of binary powers By the use of the binarj' scale of notation By the use of Fermat's Theorem .
Mechanical methods of Factorizing Numbers .
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