46,257,585,588,439

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Number

$46 \, 257 \, 585 \, 588 \, 439$ is:

A prime number

Has a square root whose continued fraction expansion has the remarkably long period $25 \, 679 \, 652$

Also see

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Sources

• Apr. 1985: C.D. Patterson and H.C. Williams: Some Periodic Continued Fractions With Long Periods (Math. Comp. Vol. 44, no. 170: pp. 523 – 532)  www.jstor.org/stable/2007971

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $46,257,585,588,439$