536,870,911/Historical Note

Historical Note on $536 \, 870 \, 911$

$536 \, 870 \, 911$ was the $4$th Mersenne number that was demonstrated to be composite.

This was done in $1732$ by Leonhard Paul Euler, who demonstrated it had the divisors $233$ and $1103$.

It is in fact the $3$rd Mersenne number in sequence to be composite.

However, the status of the $4$th such composite Mersenne number, $137 \, 438 \, 953 \, 471$, had been established by Pierre de Fermat in $1640$.


Sources

  • 1919: Leonard Eugene Dickson: History of the Theory of Numbers: Volume $\text { I }$ ... (previous) ... (next): Preface
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