List questions from elementary-number-theory

Published on 10 Apr 2026 - 20:36

129

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What is the smallest $k$ , such that $44^{44}+k$ has the desired property?

Published on 15 Apr 2026 - 14:37

55

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Online Solver for Prime Power Modulus problems

Published on 11 Apr 2026 - 19:54

139

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Largest Digit Sum in bases besides base 10

Published on 12 Apr 2026 - 23:57

116

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Solve equation $n^4+n^2+1=p$, where p is prime number

Published on 15 Apr 2026 - 18:43

354

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What's the remainder if $99{,}999^{99}$ is divided by $999{,}999$?

Published on 17 Apr 2026 - 8:32

87

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Results from extensions and variations of Dixon's Identity

Published on 12 Apr 2026 - 17:05

345

Views

A weak Goodstein sequence will eventually terminate

Published on 11 May 2026 - 8:58

51

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Name of the theorem used for testing the primality of a number

Published on 10 May 2026 - 17:16

724

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Prove: The integer p-1 is a quadratic residue of an odd prime p if and only if p congruent 1 ( mod4).

Published on 17 Apr 2026 - 10:20

33

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Prove the divisibility of $R^k_n\pm 1$ by 4

Published on 14 Apr 2026 - 11:31

128

Views

Generating Prime Numbers From Composite Numbers

Published on 14 Apr 2026 - 3:08

325

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Another Proof of Euclid's Theorem (infinite number of primes)?

Published on 10 May 2026 - 19:55

214

Views

Hill Cipher and Exponential Cipher Questions

Published on 11 Apr 2026 - 18:25

278

Views

Review of proof attempt of Bertrand-Chebyshev Theorem

Published on 13 Apr 2026 - 6:42

List Question

Can a prime of form $4m+1$ be expressed as sum of 2 squares in more than one way?

What is the smallest $k$ , such that $44^{44}+k$ has the desired property?

Online Solver for Prime Power Modulus problems

Largest Digit Sum in bases besides base 10

Solve equation $n^4+n^2+1=p$, where p is prime number

What's the remainder if $99{,}999^{99}$ is divided by $999{,}999$?

Results from extensions and variations of Dixon's Identity

A weak Goodstein sequence will eventually terminate

Name of the theorem used for testing the primality of a number

Prove: The integer p-1 is a quadratic residue of an odd prime p if and only if p congruent 1 ( mod4).

Prove the divisibility of $R^k_n\pm 1$ by 4

Generating Prime Numbers From Composite Numbers

Another Proof of Euclid's Theorem (infinite number of primes)?

Hill Cipher and Exponential Cipher Questions

Review of proof attempt of Bertrand-Chebyshev Theorem

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