Question

Find all integers $k$ such that $k^2\equiv 5k\pmod{15}, 2\leq k\leq 30$.

score 1.6k · Answer 1 · 2026-03-26 06:22:29

1.6k

Views

Find all integers $k$ such that $k^2\equiv 5k\pmod{15}, 2\leq k\leq 30$.

Published on 26 Mar 2026 - 6:22

score 161 · Answer 2 · 2014-10-04 06:31:47

161

Views

Let $x, y \in \Bbb Z$. If $x + y \geq 135$, then $x > 67$ or $y > 67$.

Published on 04 Oct 2014 - 6:31

score 703 · Answer 3 · 2014-10-04 12:30:53

703

Views

Prove by contradiction that $(x-y)^3+(y-z)^3+(z-x)^3 = 30$ has no integer solutions

Published on 04 Oct 2014 - 12:30

score 79 · Answer 4 · 2014-10-04 13:21:46

79

Views

An inequality question involving non-negative integers

Published on 04 Oct 2014 - 13:21

score 130 · Answer 5 · 2014-10-06 18:02:18

130

Views

How to find all positive integer solutions of this tricky system of equations?

Published on 06 Oct 2014 - 18:02

score 149 · Answer 6 · 2014-10-07 12:31:09

149

Views

How many (decimal) digits does $2^{3021 377}$ have?

Published on 07 Oct 2014 - 12:31

score 2.5k · Answer 7 · 2014-10-08 19:50:50

If $a,b$ are positive integers such that $\gcd(a,b)=1$, then show that $\gcd(a+b, a-b)=1$ or $2$. and $\gcd(a^2+b^2, a^2-b^2)=1$ or $2 $

score 898 · Answer 8 · 2026-03-26 23:11:36

898

Views

sum of square root of primes 2

Published on 26 Mar 2026 - 23:11

score 3.5k · Answer 9 · 2026-03-28 11:52:57

3.5k

Views

Forming largest two-digit number

Published on 28 Mar 2026 - 11:52

score 40 · Answer 10 · 2014-10-14 13:47:56

40

Views

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Published on 14 Oct 2014 - 13:47

score 254 · Answer 11 · 2014-10-14 14:25:30

254

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Integral Numbers Question

Published on 14 Oct 2014 - 14:25

score 1.5k · Answer 12 · 2014-10-18 15:22:56

1.5k

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Published on 18 Oct 2014 - 15:22

score 620 · Answer 13 · 2014-10-19 18:56:57

620

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score 85 · Answer 14 · 2014-10-21 18:21:29

85

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Beautiful number theory numeral system problem.

Published on 21 Oct 2014 - 18:21

score 71 · Answer 15 · 2014-10-21 22:36:57

71

Views

Numbers of the form $n^k-1$

Published on 21 Oct 2014 - 22:36

List Question

Find all integers $k$ such that $k^2\equiv 5k\pmod{15}, 2\leq k\leq 30$.

Let $x, y \in \Bbb Z$. If $x + y \geq 135$, then $x > 67$ or $y > 67$.

Prove by contradiction that $(x-y)^3+(y-z)^3+(z-x)^3 = 30$ has no integer solutions

An inequality question involving non-negative integers

How to find all positive integer solutions of this tricky system of equations?

How many (decimal) digits does $2^{3021 377}$ have?

If $a,b$ are positive integers such that $\gcd(a,b)=1$, then show that $\gcd(a+b, a-b)=1$ or $2$. and $\gcd(a^2+b^2, a^2-b^2)=1$ or $2 $

sum of square root of primes 2

Forming largest two-digit number

Order in direct proofs with even numbers

Integral Numbers Question

Possible remainder when multiple of a number is divided by multiple of the same dividor

The set $\mathbb{Z}$ is totally ordered

Beautiful number theory numeral system problem.

Numbers of the form $n^k-1$

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