'Bernard Frénicle de Bessy' (ca.
1605–
1675), was a
French mathematician born in
Paris, wrote numerous mathematical papers, mainly in
number theory and
combinatorics. The
Frénicle standard form, a standard representation of
magic squares, is named after him. He solved many problems created by
Fermat. He also discovered a
taxicab number and in 1693, he described all 880 essentially different normal
magic squares of order 4.
Like
Fermat, Frénicle was an amateur mathematician, but he still corresponded with the likes of
Descartes,
Huygens,
Mersenne and also Fermat, who was his personal friend. His major contributions were in number theory.
He challenged
Christiaan Huygens to solve the following system of equations in integers,
:''x''
2 + ''y''
2 = ''z''
2, ''x''
2 = ''u''
2 + ''v''
2, ''x'' − ''y'' = ''u'' − ''v''.
A solution was given by
M. Pépin in 1880.
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External links
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