MacTutor
3rd January
On this day in 1657, Pierre de Fermat made a challenge to the mathematicians of Europe and England. He posed two problems, involving S(n), the sum of the proper divisors of n:
1. Find a cube n such that n + S(n) is a square.
2. Find a square n such that n + S(n) is a cube.
Frenicle de Bessy found solutions to these on the day he was given the problems.
You can see the solutions at THIS LINK.
The postage stamp of one of today's mathematicians at THIS LINK was issued in 1982.
1. Find a cube n such that n + S(n) is a square.
2. Find a square n such that n + S(n) is a cube.
Frenicle de Bessy found solutions to these on the day he was given the problems.
You can see the solutions at THIS LINK.
The postage stamp of one of today's mathematicians at THIS LINK was issued in 1982.