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- Q2654085 subject Q6821335.
- Q2654085 abstract "A Pythagorean prime is a prime number of the form 4n + 1. Pythagorean primes are exactly the odd prime numbers that are the sum of two squares.Equivalently, by the Pythagorean theorem, they are the odd prime numbers p for which √p is the length of the hypotenuse of a right triangle with integer legs, and they are also the prime numbers p for which p itself is the hypotenuse of a Pythagorean triangle. For instance, the number 5 is a Pythagorean prime; √5 is the hypotenuse of a right triangle with legs 1 and 2, and 5 itself is the hypotenuse of a right triangle with legs 3 and 4.".
- Q2654085 thumbnail Squared_right_triangle.svg?width=300.
- Q2654085 wikiPageWikiLink Q104962.
- Q2654085 wikiPageWikiLink Q11518.
- Q2654085 wikiPageWikiLink Q11567.
- Q2654085 wikiPageWikiLink Q158688.
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- Q2654085 wikiPageWikiLink Q40118.
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- Q2654085 wikiPageWikiLink Q50707.
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- Q2654085 wikiPageWikiLink Q603880.
- Q2654085 wikiPageWikiLink Q604950.
- Q2654085 wikiPageWikiLink Q673849.
- Q2654085 wikiPageWikiLink Q6821335.
- Q2654085 wikiPageWikiLink Q712623.
- Q2654085 wikiPageWikiLink Q712770.
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- Q2654085 wikiPageWikiLink Q713122.
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- Q2654085 wikiPageWikiLink Q724975.
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- Q2654085 wikiPageWikiLink Q878259.
- Q2654085 wikiPageWikiLink Q914517.
- Q2654085 wikiPageWikiLink Q949972.
- Q2654085 comment "A Pythagorean prime is a prime number of the form 4n + 1. Pythagorean primes are exactly the odd prime numbers that are the sum of two squares.Equivalently, by the Pythagorean theorem, they are the odd prime numbers p for which √p is the length of the hypotenuse of a right triangle with integer legs, and they are also the prime numbers p for which p itself is the hypotenuse of a Pythagorean triangle.".
- Q2654085 label "Pythagorean prime".
- Q2654085 depiction Squared_right_triangle.svg.
