Proth Prime/Examples/8423 x 2^59,877 + 1

Example of Proth Prime

The Proth number:

$8423 \times 2^{59 \, 877} + 1$

is a Proth prime.

Proof

This theorem requires a proof. In particular: using Proth's Theorem, probably, still to be documented You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Historical Note

The Proth number $8423 \times 2^{59 \, 877} + 1$ was identified as being a Proth prime in $1988$ by D.A. Buell and J. Young.

Sources

• 1988: D.A. Buell and J. Young: Some Large Primes and the Sierpiński Problem (SRC Tech. Rep Vol. 88004)

• 1989: Paulo Ribenboim: The Book of Prime Number Records (2nd ed.)

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $8423 \times 2^{59,877} + 1$