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Articles 121 - 122 of 122
Full-Text Articles in Mathematics
De Solutione Problematum Diophanteorum Per Numeros Integros, Leonhard Euler
De Solutione Problematum Diophanteorum Per Numeros Integros, Leonhard Euler
All Works by Eneström Number
Euler searches for integer solutions to axx+bx+c=yy and considers some applications to figurate numbers.
Observationes De Theoremate Quodam Fermatiano Aliisque Ad Numeros Primos Spectantibus, Leonhard Euler
Observationes De Theoremate Quodam Fermatiano Aliisque Ad Numeros Primos Spectantibus, Leonhard Euler
All Works by Eneström Number
Euler shows that the fifth Fermat number, 225 +1 = 4,294,967,297, is not prime because it is divisible by 641, though he does not give any clues about how he discovered this fact. He also tacks on a few "theorems" but says that he does not yet know how to prove them.