prime squares
由 GB Thomas Jr 著作 · 1973 · 被引用 2 次 — 6. A positive integer is a sum of two squares if and only if its prime decomposition contains only even powers of primes of the form 4k + 3 ... ,由 S Mahilmaran 著作 · 2019 — ... a prime between consecutive two perfect squares. In this note, we prove the conjecture holds true and also discuss the related results. ,Gaussian primes — On the other hand, the primes 3, 7, 11, 19, 23 and 31 are all congruent to 3 modulo 4, and none of them can be expressed as the sum of two ... ,A prime magic square is a magic square consisting only of prime numbers (although the number 1 is sometimes allowed in such squares). The left square is the ... , ,It appears that p = a^2 - b^2 defines a and b uniquely. We thus conclude that any odd prime number can be represented as a difference of two squares in a unique ... ,2020年6月25日 — Theorem1. An odd prime number is a sum of two squared integers if and only if it is congruent to 1 (mod 4). But first we need a middle step to ... ,The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there are infinitely many prime numbers, ...
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 prime squares 相關參考資料
Density properties of primes, squares, and sums of squares
由 GB Thomas Jr 著作 · 1973 · 被引用 2 次 — 6. A positive integer is a sum of two squares if and only if its prime decomposition contains only even powers of primes of the form 4k + 3 ... https://www.sciencedirect.com Existence of primes between two consecutive squares - arXiv
由 S Mahilmaran 著作 · 2019 — ... a prime between consecutive two perfect squares. In this note, we prove the conjecture holds true and also discuss the related results. https://arxiv.org Fermat's theorem on sums of two squares - Wikipedia
Gaussian primes — On the other hand, the primes 3, 7, 11, 19, 23 and 31 are all congruent to 3 modulo 4, and none of them can be expressed as the sum of two ... https://en.wikipedia.org Prime Magic Square -- from Wolfram MathWorld
A prime magic square is a magic square consisting only of prime numbers (although the number 1 is sometimes allowed in such squares). The left square is the ... https://mathworld.wolfram.com Primes and Perfect Squares
http://www.gimaths.com Primes as differences of squares - Interactive Mathematics ...
It appears that p = a^2 - b^2 defines a and b uniquely. We thus conclude that any odd prime number can be represented as a difference of two squares in a unique ... https://www.cut-the-knot.org Primes Which Are a Sum of Two Squares
2020年6月25日 — Theorem1. An odd prime number is a sum of two squared integers if and only if it is congruent to 1 (mod 4). But first we need a middle step to ... https://people.math.rochester. Semiprime - Wikipedia
The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there are infinitely many prime numbers, ... https://en.wikipedia.org |