1,257,787

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Number

$1 \, 257 \, 787$ (one million, two hundred and fifty-seven thousand, seven hundred and eighty-seven) is:

The $97 \, 017$th prime number

The index of the $34$th Mersenne prime after $2$, $3$, $5$, $7$, $13$, $\ldots$, $23 \, 209$, $44 \, 497$, $86 \, 243$, $110 \, 503$, $132 \, 049$, $216 \, 091$, $756 \, 839$, $859 \, 433$:

$M_{1 \, 257 \, 787} = 2^{1 \, 257 \, 787} - 1 \approx 4 \cdotp 122 \times 10^{378 \, 631}$

Also see

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Historical Note

The Mersenne number $M_{1 \, 257 \, 787} = 2^{1 \, 257 \, 787} - 1$ was demonstrated to be a Mersenne prime by David Slowinski and Paul Gage.

This discovery was announced on $2$ September $1996$.

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2^{1,257,787} - 1$