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