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 $2$, $3$, $5$, $7$, $13$, $\ldots$, $11 \, 213$, $19 \, 937$, $21 \, 701$, $23 \, 209$, $44 \, 497$, $86 \, 243$, $110 \, 503$:
- $M_{132 \, 049} = 2^{132 \, 049} - 1 \approx 5 \cdotp 127 \times 10^{39 \, 750}$
Also see
- Previous ... Next: Index of Mersenne Prime
- Previous ... Next: Prime Number
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.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2^{132049} - 1$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2^{132,049} - 1$