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): $2^{132,049} - 1$
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