List questions from elementary-number-theory

Published on 12 Apr 2026 - 15:57

89

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More precise version of Mertens theorem

Published on 14 Apr 2026 - 4:10

1.4k

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Primes of the form $x^2+ny^2$?

Published on 16 Apr 2026 - 17:08

159

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Every four consecutive integers contains one which cannot be written as sum of two squares

Published on 11 Apr 2026 - 20:24

70

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The biggest power of number three..

Published on 13 Apr 2026 - 6:10

378

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Under what conditions is the sum of all the proper divisors an odd number?

Published on 13 Apr 2026 - 10:31

614

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What does it mean for a positive integer to be a power of a prime?

Published on 12 Apr 2026 - 0:00

1.4k

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Find all solutions to the system $x \equiv 1 \pmod 4, x \equiv 0 \pmod 3$, and $x \equiv 5 \pmod 7$

Published on 10 May 2026 - 17:17

75

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Is there a formula for this string of numbers?

Published on 11 Apr 2026 - 3:07

48

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Solve the congruence

Published on 15 Apr 2026 - 15:56

272

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$(n-1)! \equiv 0 \pmod n$, Wilson's Theorem version for non prime moduli

Published on 13 Apr 2026 - 17:53

172

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In a congruence are the numbers remainders or residues?

Published on 15 Apr 2026 - 13:33

3k

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find all integers $n$ such that $2^{n-1}*n+1$ is a perfect square.

Published on 16 Apr 2026 - 16:22

174

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Prove that $10|n+3n^3+7n^7+9n^9$

Published on 16 Apr 2026 - 14:28

282

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Prove that $8p^2+2p+1$ is prime number

Published on 16 Apr 2026 - 6:10

List Question

Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers

More precise version of Mertens theorem

Primes of the form $x^2+ny^2$?

Every four consecutive integers contains one which cannot be written as sum of two squares

The biggest power of number three..

Under what conditions is the sum of all the proper divisors an odd number?

What does it mean for a positive integer to be a power of a prime?

Find all solutions to the system $x \equiv 1 \pmod 4, x \equiv 0 \pmod 3$, and $x \equiv 5 \pmod 7$

Is there a formula for this string of numbers?

Solve the congruence

$(n-1)! \equiv 0 \pmod n$, Wilson's Theorem version for non prime moduli

In a congruence are the numbers remainders or residues?

find all integers $n$ such that $2^{n-1}*n+1$ is a perfect square.

Prove that $10|n+3n^3+7n^7+9n^9$

Prove that $8p^2+2p+1$ is prime number

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