Sorry for the mistake. A Fermat prime is a Fermat number F(n) = 2^(2^n)+1 that is prime. In 1650, Pierre de Fermat speculated that every Fermat number is prime. However, currently all known Fermat numbers for n>4 are composite, and the only known Fermat primes are F(0)=3, F(1)=5, F(2)=17, F(3)=257, and F(4)=65537. 
The given prime number 115792089237316195423570985008687907853269984665640564039457584007908834671663 is very similar to F(8) = 115792089237316195423570985008687907853269984665640564039457584007913129639937, which has been proved to be composite. Therefore it is not a Fermat prime. Instead, it is the 7th point for the finite field elliptic curve NIST P-256, which is a prime curve used extensively in critical infrastructure projects. Would you like me to go further on this topic?
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