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Aryan's user avatar
Aryan's user avatar
Aryan
  • Member for 3 years, 4 months
  • Last seen this week
  • Rasht, Gilan Province, Iran
4 votes

Number of binary square matrices whose every contiguous 2 by 2 submatrix has exactly 2 ones (zeroes)

4 votes

Modified sum of three squares problem

4 votes
Accepted

Induction for $f^{(k)}(x) = \sum_{i=0}^{k} {k \choose i} p^{(k-i)}(x) g^{(i)}(x)$

3 votes

If $A^TB$ is a symmetric matrix, then $XA=B$ has a symmetric matrix solution

3 votes
Accepted

Masters and grandmasters play in chess tournament. Everyone won half their games against masters, prove that number of players is a perfect square.

3 votes
Accepted

We have $n$ numbers less than a given number $k$ such that none of the numbers divides the product of other $n-1$ numbers.

3 votes
Accepted

If the total number of $3$-element subsets of $(1,$ ... $, 23)$ with $S(A) < 36$ is $N$. Find $\frac{(N+ 45)}{25}$.

2 votes

show that $\gcd(m^{n-1}-1,n)>1$

2 votes
Accepted

How do you solve $x^2−4\equiv 0 \mod 7$?

2 votes

How to do this discrete math problem?

2 votes
Accepted

Unable to reconstruct a new polynomial to find a given value

2 votes
Accepted

Find the value of :- $2010 - \sum_{k=1}^{2010}\bigg\lceil\frac{2010}{k} - \bigg\lfloor \frac{2010}{k}\bigg \rfloor\bigg\rceil $

2 votes
Accepted

Cauchy's Functional Equation $ f ( x + y ) = f ( x ) + f ( y ) $ with the Additional Assumption $ f \left( x ^ { n + 1 } \right) = x ^ n f ( x ) $

2 votes

Prove that exist finitely many positive integers $n$ satisfying $\tau (n)=a$ and $n|\phi (n)+\sigma (n)$

2 votes
Accepted

How to find a tangent when you have an implicit equation and the e function

2 votes
Accepted

One formula for function

2 votes

Geometry problem - prove that incentre of two triangles coincide

2 votes
Accepted

Find the GCD Product of a number and its power

2 votes

Show that the sequence $a_n = a_{n-1}(a_{n-1} + \frac{1}{n})$ is unbounded when $a_1 = 1$

2 votes

Is $p^{2} \overset{8}{\equiv} 1$

2 votes

Methodical way of finding the number of $n$ such that $\lfloor\sqrt n\rfloor\mid n$ and $\lfloor \sqrt{n+1}\rfloor\mid n+1$

2 votes

when could $5^m+5^n$ represented as sum of two squares

1 vote

Solving the system $(a-b)^2+(c-d)^2=d^2$, $(e-b)^2+(f-d)^2=d^2$ for $b$ and $d$

1 vote

Is there a matrix with 0 "ultimate maximum"?

1 vote
Accepted

n-"Kings" Problem

1 vote

All rational solutions to $px^4-4y^4=z^2$ with $p\equiv 3\pmod8$ satisfy $xyz=0$

1 vote

Fermat's Little Theorem Problem with an exponent of an exponent

1 vote

Exponentially weighted average, sum of weights

1 vote
Accepted

About proving that there are infinitely many prime numbers $p$ such that $\mathrm{ord}_p(a)=\mathrm{ord}_p(b)$

1 vote

Show circle through feet of two altitudes and midpoint of third side passes through center of another circle