List questions from elementary-number-theory

Published on 26 Mar 2026 - 7:04

223

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What is wrong with my solution to this equation : $346 x+ 1250 \equiv 49 \pmod{105}$?

Published on 26 Mar 2026 - 7:25

239

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Fast solutions for $x^2+y^2+z^2=d^2$ for large $d>1000$

Published on 10 Apr 2026 - 17:43

69

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Aren't there several values for $abc$? I mean, it can't be a definite answer!

Published on 27 Mar 2026 - 2:14

107

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consecutive integers that are not the sum of 2 squares.

Published on 09 Apr 2026 - 2:53

133

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How often does $\pi$ contain a sequence of digits $x$ at decimal place $x$?

Published on 27 Mar 2026 - 6:19

34

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Computation of compositions of ceilings and divisions

Published on 09 Apr 2026 - 2:00

284

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Primality test for repunits in bases $\pm 3$

Published on 09 Apr 2026 - 1:55

419

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Prove $a \mid m$ and $b \mid m \implies \frac{a \cdot b}{\text{gcd}(a, b)} \mid m$

Published on 24 Mar 2026 - 23:45

84

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Unable to understand proof for Infinitude of primes

Published on 26 Mar 2026 - 11:37

195

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Elementary number theory exponent problem (Peter Hackman book)

Published on 26 Mar 2026 - 3:10

1.7k

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Number of divisors of $2^2.3^3.5^3.7^5$ of the form (4n+1)

Published on 01 Apr 2026 - 19:45

587

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Prove: $k^2 \equiv 1 \mod p \implies k \equiv \pm1 \mod p$

Published on 09 Apr 2026 - 3:53

412

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Prove that primes of the form $2n^2+10n+15$ are also of the form $36k+7$

Published on 25 Mar 2026 - 20:20

76

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If $a$ is an integer, prove that $\gcd(14a + 3, 21a + 4) = 1$.

Published on 10 Apr 2026 - 1:31

List Question

numbers giving remainder 10 on dividing by 16

What is wrong with my solution to this equation : $346 x+ 1250 \equiv 49 \pmod{105}$?

Fast solutions for $x^2+y^2+z^2=d^2$ for large $d>1000$

Aren't there several values for $abc$? I mean, it can't be a definite answer!

consecutive integers that are not the sum of 2 squares.

How often does $\pi$ contain a sequence of digits $x$ at decimal place $x$?

Computation of compositions of ceilings and divisions

Primality test for repunits in bases $\pm 3$

Prove $a \mid m$ and $b \mid m \implies \frac{a \cdot b}{\text{gcd}(a, b)} \mid m$

Unable to understand proof for Infinitude of primes

Elementary number theory exponent problem (Peter Hackman book)

Number of divisors of $2^2.3^3.5^3.7^5$ of the form (4n+1)

Prove: $k^2 \equiv 1 \mod p \implies k \equiv \pm1 \mod p$

Prove that primes of the form $2n^2+10n+15$ are also of the form $36k+7$

If $a$ is an integer, prove that $\gcd(14a + 3, 21a + 4) = 1$.

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