No solution exists for the equation a to the n plus b to the n equals c to the n, when n is greater than this number, according to Fermat's Last Theorem.
This number is the highest integer power found in Pell's equation. This number raised to the power of its square root gives the transcendental Gelfond-Schneider number. Euler proved that the Riemann zeta function of this number equals pi squared over 6. Adding one to a Mersenne prime will always result in a power of this number. No solution exists for the equation a to the n plus b to the n equals c to the n, when n is greater than this number, according to Fermat's Last Theorem. This is the largest number whose factorial equals itself, and its square root is equal to around 1.414. For 10 points, name this number that is the base in the binary system.
This number is the highest integer power found in Pell's equation.
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