# 132,049

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## Number

$132 \, 049$ (one hundred and thirty-two thousand and forty-nine) is:

The $12 \, 331$st prime number

The index of the $30$th Mersenne prime after $2$, $3$, $5$, $7$, $13$, $\ldots$, $11 \, 213$, $19 \, 937$, $21 \, 701$, $23 \, 209$, $44 \, 497$, $86 \, 243$, $110 \, 503$:
$M_{132 \, 049} = 2^{132 \, 049} - 1 \approx 5 \cdotp 127 \times 10^{39 \, 750}$

## Historical Note

The Mersenne number $M_{132 \, 049} = 2^{132 \, 049} - 1$ was demonstrated to be a Mersenne prime on $19$ September $1983$ by David Slowinski, using two CRAY-1 supercomputers linked together.