2,305,843,009,213,693,951

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Number

$2 \, 305 \, 843 \, 009 \, 213 \, 693 \, 951$ is:

A prime number

The $9$th Mersenne prime after $3$, $7$, $31$, $127$, $8191$, $131 \, 071$, $524 \, 287$, $2 \, 147 \, 483 \, 647$:

$2 \, 305 \, 843 \, 009 \, 213 \, 693 \, 951 = 2^{61} - 1$

Historical Note

$2 \, 305 \, 843 \, 009 \, 213 \, 693 \, 951 = 2^{61} - 1$ was discovered to be prime in $1883$ by Ivan Mikheevich Pervushin.

It was discovered independently in $1886$ by Paul Peter Heinrich Seelhoff, and confirmed by Jules Hudelot in $1887$.

It was the $10$th Mersenne prime to be discovered, although the $9$th in sequence.

François Édouard Anatole Lucas had demonstrated in $1876$ that $2^{127} - 1$ (actually the $12$th in sequence) is prime.

Also see

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