19,937

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Number

$19 \, 937$ (nineteen thousand, nine hundred and thirty-seven) is:

The $2254$th prime number


The index of the $24$th Mersenne prime after $2$, $3$, $5$, $7$, $13$, $\ldots$, $2203$, $2281$, $3217$, $4253$, $4423$, $9689$, $9941$, $11 \, 213$:
$M_{19 \, 937} = 2^{19 \, 937} - 1 \approx 4 \cdotp 315 \times 10^{6001}$


Also see

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


Historical Note

The Mersenne number $M_{19 \, 937} = 2^{19 \, 937} - 1$ was demonstrated to be a Mersenne prime by Bryant Tuckerman on $4$ March $1971$.


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2^{19937} - 1$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2^{19,937} - 1$
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