859,433
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Number
$859 \, 433$ (eight hundred and fifty-nine thousand, four hundred and thirty-three) is:
- The $68 \, 301$st prime number
- The index of the $33$rd Mersenne prime after $2$, $3$, $5$, $7$, $13$, $\ldots$, $23 \, 209$, $44 \, 497$, $86 \, 243$, $110 \, 503$, $132 \, 049$, $216 \, 091$, $756 \, 839$:
- $M_{859 \, 433} = 2^{859 \, 433} - 1 \approx 1 \cdotp 295 \times 10^{258 \, 715}$
Also see
- Previous ... Next: Prime Number
- Previous ... Next: Index of Mersenne Prime
Historical Note
The Mersenne number $M_{859 \, 433} = 2^{859 \, 433} - 1$ was demonstrated to be a Mersenne prime by David Slowinski and Paul Gage.
This discovery was announced by David Slowinski on the internet on $4$ January $1994$.
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2^{859,433} - 1$