Question

Modular exponentiation with large modulo

score 37 · Answer 1 · 2026-04-13 05:40:28

37

Views

Modular exponentiation with large modulo

Published on 13 Apr 2026 - 5:40

score 417 · Answer 2 · 2018-03-24 09:31:48

417

Views

Prove or disprove that $n^2-1$ is composite whenever $n$ is a positve integer greater than 2.

Published on 24 Mar 2018 - 9:31

score 44 · Answer 3 · 2018-03-24 10:15:50

44

Views

Split a number $n$ into two numbers $a$ and $b$ such that $a-b=m$

Published on 24 Mar 2018 - 10:15

score 58 · Answer 4 · 2026-04-03 11:53:31

58

Views

Find the number of ordered pairs $(x,y)$ such that $5\cdot{}^xC_y=3\cdot{}^7C_3$

Published on 03 Apr 2026 - 11:53

score 121 · Answer 5 · 2026-04-09 00:14:26

121

Views

Proof of LCM property.

Published on 09 Apr 2026 - 0:14

score 213 · Answer 6 · 2026-04-14 09:41:59

213

Views

From WSJ, my number is 136

Published on 14 Apr 2026 - 9:41

score 686 · Answer 7 · 2026-04-13 14:33:39

686

Views

If p does not divide a and p does not divide k, than p does not divide a*k

Published on 13 Apr 2026 - 14:33

score 1.5k · Answer 8 · 2026-04-14 18:45:44

1.5k

Views

Number theoretic puzzle involving 123456789

Published on 14 Apr 2026 - 18:45

score 163 · Answer 9 · 2026-04-11 20:39:10

163

Views

Is there any number with $2017$ divisors whose sum of digits is $2017$?

Published on 11 Apr 2026 - 20:39

score 536 · Answer 10 · 2026-04-13 21:09:09

536

Views

Number of Solutions Mod $2^k$

Published on 13 Apr 2026 - 21:09

score 198 · Answer 11 · 2026-04-14 11:42:04

198

Views

How to show that $\min\{\alpha,\max\{\beta,\gamma\}\}=\max \{ \min\{\alpha,\beta\},\min\{\alpha,\gamma\}\}.$

Published on 14 Apr 2026 - 11:42

score 61 · Answer 12 · 2026-03-25 07:45:58

61

Views

Find the number of ordered triples $(a,b,c)$ of integers satisfying $0\le a,b,c\le1000$

Published on 25 Mar 2026 - 7:45

score 82 · Answer 13 · 2026-04-13 08:16:44

82

Views

Can every natural number $8m - 3$ be written as either $o_c(n,x)$ or $o_d(n,x)$?

Published on 13 Apr 2026 - 8:16

score 85 · Answer 14 · 2026-04-09 01:28:35

85

Views

What are the last two digits of $2^{100}$ ??

Published on 09 Apr 2026 - 1:28

score 336 · Answer 15 · 2026-03-25 11:20:19

336

Views

If $\gcd(m,15)=\gcd(n,15)=1,$ show that $15\mid (m^4+n^4)$ or $15\mid (m^4-n^4)$.

Published on 25 Mar 2026 - 11:20

List Question

Modular exponentiation with large modulo

Prove or disprove that $n^2-1$ is composite whenever $n$ is a positve integer greater than 2.

Split a number $n$ into two numbers $a$ and $b$ such that $a-b=m$

Find the number of ordered pairs $(x,y)$ such that $5\cdot{}^xC_y=3\cdot{}^7C_3$

Proof of LCM property.

From WSJ, my number is 136

If p does not divide a and p does not divide k, than p does not divide a*k

Number theoretic puzzle involving 123456789

Is there any number with $2017$ divisors whose sum of digits is $2017$?

Number of Solutions Mod $2^k$

How to show that $\min\{\alpha,\max\{\beta,\gamma\}\}=\max \{ \min\{\alpha,\beta\},\min\{\alpha,\gamma\}\}.$

Find the number of ordered triples $(a,b,c)$ of integers satisfying $0\le a,b,c\le1000$

Can every natural number $8m - 3$ be written as either $o_c(n,x)$ or $o_d(n,x)$?

What are the last two digits of $2^{100}$ ??

If $\gcd(m,15)=\gcd(n,15)=1,$ show that $15\mid (m^4+n^4)$ or $15\mid (m^4-n^4)$.

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