Largest known Proth prime

The largest known Proth prime is equal to \(10,223 \times 2^{31,172,165} + 1\), which has 9,383,761 digits. It was discovered on 2016, and is currently the eleventh largest known prime.The Largest Known Primes--A Summary The Top Twenty: Proth
The Proth primes are those that meet the criteria of Proth's theorem as follows.F. Proth, "Théorèmes sur les nombres premiers," C. R. Acad. Sci. Paris, 85 (1877) 329-331.
: Let \(n = h \cdot 2^k+1\) with \(2^k > h\). If there is an integer \(a\) such that \(a(n-1)/2 = -1 (\mod n)\), then \(n\) is prime.
== Sources ==
Category:Numbers
Category:Class 3
Category:Lower class 3
Category:Numerical records
Category:Prime numbers
Category:Dynamic googolisms