44,497

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Number

$44 \, 497$ (forty-four thousand, four hundred and ninety-seven) is:

The $4624$th prime number

The index of the $27$th Mersenne prime after $2$, $3$, $5$, $7$, $13$, $\ldots$, $2203$, $2281$, $3217$, $4253$, $4423$, $9689$, $9941$, $11 \, 213$, $19 \, 937$, $21 \, 701$, $23 \, 209$:

$M_{44 \, 497} = 2^{44 \, 497} - 1 \approx 8 \cdotp 545 \times 10^{13 \, 394}$

Also see

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Historical Note

The Mersenne number $M_{44 \, 497} = 2^{44 \, 497} - 1$ was demonstrated to be a Mersenne prime on $8$ April $1979$ by David Slowinski and Harry Nelson, using a CRAY-1 supercomputer.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2^{44497} - 1$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2^{44,497} - 1$