756,839

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Number

$756 \, 839$ (seven hundred and fifty-six thousand, eight hundred and thirty-nine) is:

The $60 \, 745$th prime number


The index of the $32$nd Mersenne prime after $2$, $3$, $5$, $7$, $13$, $\ldots$, $11 \, 213$, $19 \, 937$, $21 \, 701$, $23 \, 209$, $44 \, 497$, $86 \, 243$, $110 \, 503$, $132 \, 049$, $216 \, 091$:
$M_{756 \, 839} = 2^{756 \, 839} - 1 \approx 1 \cdotp 741 \times 10^{227 \, 831}$


Also see

  • Previous  ... Next: Prime Number
  • Previous  ... Next: Index of Mersenne Prime


Historical Note

The Mersenne number $M_{756 \, 839} = 2^{756 \, 839} - 1$ was demonstrated to be a Mersenne prime on $19$ February $1992$ by David Slowinski and Paul Gage.


Sources

  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2^{859,433} - 1$
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