prime squares

由 S Mahilmaran 著作 · 2019 — ... a prime between consecutive two perfect squares. In this note, we prove the conjecture ...

prime squares

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 ...

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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