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Quartan prime
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Quartan prime
In mathematics, a quartan prime is a prime number of the form x4 + y4 where x and y are positive integers. Odd quartan primes are of the form 16n + 1.
For example, 17 is the smallest odd quartan prime: 14 + 24 = 1 + 16 = 17.
With the exception of 2 (x = y = 1), one of x and y will be odd, and the other even. If both are odd or both are even, the result will be even, and 2 is the only even prime.
The first few quartan primes are:
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Quartan prime
In mathematics, a quartan prime is a prime number of the form x4 + y4 where x and y are positive integers. Odd quartan primes are of the form 16n + 1.
For example, 17 is the smallest odd quartan prime: 14 + 24 = 1 + 16 = 17.
With the exception of 2 (x = y = 1), one of x and y will be odd, and the other even. If both are odd or both are even, the result will be even, and 2 is the only even prime.
The first few quartan primes are: