# 1,398,269

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## Number

$1 \, 398 \, 269$ (one million, three hundred and ninety-eight thousand, two hundred and sixty-nine) is:

The $106 \, 991$st prime number

The index of the $35$th Mersenne prime after $2$, $3$, $5$, $7$, $13$, $\ldots$, $23 \, 209$, $44 \, 497$, $86 \, 243$, $110 \, 503$, $132 \, 049$, $216 \, 091$, $756 \, 839$, $859 \, 433$, $1 \, 257 \, 787$:
$M_{1 \, 398 \, 269} = 2^{1 \, 398 \, 269} - 1 \approx 8 \cdotp 147 \times 10^{420 \, 920}$

## Historical Note

The Mersenne number $M_{1 \, 398 \, 269} = 2^{1 \, 398 \, 269} - 1$ was demonstrated to be a Mersenne prime by Joel Armengaud, as part of the GIMPS team headed by George Woltman.

This discovery was announced on $13$ November $1996$.