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15
Math.TechQA.Club
2026-03-25 19:10:21
203
Views
Find the last 3 digits of $2015^{18}+2015^{19}+2015^{20}+...+2015^{2018}$.
Published on
25 Mar 2026 - 19:10
#elementary-number-theory
#modular-arithmetic
118
Views
Proving $(x, 6) = (x, 8) = 1 \Rightarrow (x, 24) = 1$
Published on
01 Mar 2018 - 23:34
#elementary-number-theory
104
Views
Proving if $(a, b)=1$, then $\gcd(\frac{a^n-b^n}{a-b}, a-b) = \gcd(n, a-b)$
Published on
25 Mar 2026 - 9:43
#elementary-number-theory
#gcd-and-lcm
107
Views
Prove that there exists a linear equation $ax+by=c$ which has $m$ solutions
Published on
09 Apr 2026 - 7:58
#elementary-number-theory
1.2k
Views
Prove that every positive integer $m$ can be written in 'base factorial' form
Published on
25 Mar 2026 - 3:01
#elementary-number-theory
#factorial
52
Views
$n=2^k-1$ iff ${n \choose 1}, {n \choose 2}, ..., {n \choose n-1}$ are odd
Published on
25 Mar 2026 - 21:49
#number-theory
#elementary-number-theory
#prime-numbers
230
Views
How can I show $q^k$ does not divide ${{n}\choose{q}}$ when $q$ is a prime factor of $n$ and $k$ is the largest integer such that $q^k$ divides $n$?
Published on
25 Mar 2026 - 1:18
#number-theory
#elementary-number-theory
#proof-writing
#prime-factorization
2.1k
Views
Unable to use Chinese Remainder Theorem on a question.
Published on
01 Apr 2026 - 22:17
#elementary-number-theory
#congruences
#chinese-remainder-theorem
318
Views
If $p$ is prime , solve $a^2 -b^2=p$ for $a,b$.
Published on
12 Apr 2026 - 17:36
#elementary-number-theory
547
Views
For what $N$ does $N=x^3+y^3+z^3-2xyz$ have infinite integer solutions?
Published on
25 Mar 2026 - 12:52
#elementary-number-theory
#diophantine-equations
222
Views
Find $abcd \times 3 + 16 = dcba$
Published on
06 Apr 2026 - 1:14
#elementary-number-theory
#decimal-expansion
55
Views
Number Theory system of congruences
Published on
13 Apr 2026 - 0:07
#elementary-number-theory
#congruences
128
Views
Prove that for any positive integer $n$, there exist $n$ consecutive positive integers $a_1, a_2,...,a_n$ such that $p_i$ divides $a_i$ for each $i$,…
Published on
11 Apr 2026 - 22:09
#elementary-number-theory
#proof-writing
153
Views
Why do all residues occur in this similar sequence?
Published on
25 Mar 2026 - 21:48
#sequences-and-series
#number-theory
#elementary-number-theory
#prime-numbers
94
Views
Existence of a particular arithmetic function.
Published on
12 Apr 2026 - 10:36
#abstract-algebra
#number-theory
#elementary-number-theory
#field-theory
#finite-fields
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