List questions from number-theory

Published on 17 Apr 2026 - 14:20

1.7k

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If $p$ is prime, then $x^2 +5y^2 = p \iff p\equiv 1,9 $ mod $(20)$.

Published on 16 Apr 2026 - 19:33

81

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Solution of Diophantine Equation $1+a^6=x^2$

Published on 16 Apr 2026 - 13:53

213

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Proof verification for polynomial solutions to $xP(x-1)=(x-2)P(x)$

Published on 13 Apr 2026 - 15:56

114

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Some easy questions about multiplicative characters and Jacobi sums.

Published on 10 May 2026 - 17:37

38

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Number of ways to go to goal vertex from start vertex

Published on 13 Apr 2026 - 3:54

273

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Recurring Decimal Expansion

Published on 15 May 2026 - 21:59

120

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Looking for a proof that $\pi$ is irrational using a series representation.

Published on 11 May 2026 - 2:00

88

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How many integers whose total number of prime factors is prime are there below x?

Published on 14 Apr 2026 - 3:23

83

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Ratio of totient $\varphi(n)/\varphi(n+1)$

Published on 15 Apr 2026 - 23:47

530

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How is the missing digit calculated?

Published on 15 May 2026 - 22:50

245

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Positive integer solution of Diophantine equation $a^2+b^2=z^3$

Published on 11 May 2026 - 6:39

1.6k

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How many positive integers $\le 1260$ are relatively prime to $1260$?

Published on 09 Apr 2026 - 3:58

91

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How to find the solutions of the following equation?

Published on 24 Apr 2026 - 2:25

317

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What are the minor and major arcs in the Circle method (Hardy & Littlewood)?

Published on 15 May 2026 - 0:42

List Question

All integers from 1 to 73 are recorded in a sequence such that each number

If $p$ is prime, then $x^2 +5y^2 = p \iff p\equiv 1,9 $ mod $(20)$.

Solution of Diophantine Equation $1+a^6=x^2$

Proof verification for polynomial solutions to $xP(x-1)=(x-2)P(x)$

Some easy questions about multiplicative characters and Jacobi sums.

Number of ways to go to goal vertex from start vertex

Recurring Decimal Expansion

Looking for a proof that $\pi$ is irrational using a series representation.

How many integers whose total number of prime factors is prime are there below x?

Ratio of totient $\varphi(n)/\varphi(n+1)$

How is the missing digit calculated?

Positive integer solution of Diophantine equation $a^2+b^2=z^3$

How many positive integers $\le 1260$ are relatively prime to $1260$?

How to find the solutions of the following equation?

What are the minor and major arcs in the Circle method (Hardy & Littlewood)?

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