Quartan prime
Encyclopedia
In mathematics
, a quartan prime is a prime number
of the form x4 + y4, where x > 0, y > 0. The odd quartan primes are of the form 16n + 1.
For example, 17 is the smallest odd quartan prime: 17 = 14 + 24.
The first few quartan primes are
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, a quartan prime is a prime number
Prime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
of the form x4 + y4, where x > 0, y > 0. The odd quartan primes are of the form 16n + 1.
For example, 17 is the smallest odd quartan prime: 17 = 14 + 24.
The first few quartan primes are
- 2, 1717 (number)17 is the natural number following 16 and preceding 18. It is prime.In spoken English, the numbers 17 and 70 are sometimes confused because they sound similar. When carefully enunciated, they differ in which syllable is stressed: 17 vs 70...
, 9797 (number)97 is the natural number following 96 and preceding 98.-In mathematics:97 is the 25th prime number , following 89 and preceding 101. 97 is a Proth prime as it is 3 × 25 + 1.The numbers 97, 907, 9007, 90007 and 900007 are happy primes...
, 257, 337, 641, 881881 (number)The number sequence 881 is...* a Paid Toll Free telephone number prefix in the USA* the Port of Los Angeles Long Wharf, California State Historic Landmark #881* the year AD 881 or the year 881 BC...
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