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Elementary-number-theory
New post in Elementary-number-theory
How to conjecture a formula of a sequence
August 8th, 2021
elementary-number-theory
sequences-and-series
Look at the following infinite sequence: 1, 10, 100, 1000, 10000, . . ..
September 20th, 2020
elementary-number-theory
what does the phrase "no zero divisors mod 13" mean?
September 18th, 2020
elementary-number-theory
If $a$ is prime to $b$, prove that $a^2+b^2$ is prime to $a^2b^2$.
March 26th, 2020
integers
number-theory
elementary-number-theory
Finding the last two digits of the expansion of $2^{12n}-6^{4n}$
April 18th, 2020
modular-arithmetic
elementary-number-theory
algebra-precalculus
A conjecture about Fibonacci numbers
September 12th, 2020
fibonacci-numbers
elementary-number-theory
number-theory
Prove that if $x^2+y^2 = z^2$ then $x$ or $y$ is even
August 1st, 2022
elementary-number-theory
discrete-mathematics
proof-writing
pythagorean-triples
Find the smallest positive integer that gives remainder 1 when divided by 2,3,4,5,6,7,8
August 20th, 2020
elementary-number-theory
The number of ordered triples $(a, b, c)$ of positive integers which satisfy the simultaneous equations $ab + bc = 44$, $ac + bc = 33$
February 6th, 2020
elementary-number-theory
diophantine-equations
Prove that if $n$ is not divisible by $3$, then $n^2 \equiv 1 \pmod 3$
May 26th, 2020
elementary-number-theory
divisibility
modular-arithmetic
Finding divisibility of a number using modular arithmetic
February 7th, 2020
elementary-number-theory
discrete-mathematics
modular-arithmetic
From any given twelve integers, two have a difference that is a multiple of 5
November 26th, 2020
elementary-number-theory
arithmetic
Finding the smallest base
October 20th, 2020
elementary-number-theory
algebra-precalculus
Legendre Symbol Sum?
March 27th, 2020
elementary-number-theory
Root of a polynomial with rational coefficients
February 21st, 2020
algebra-precalculus
polynomials
elementary-number-theory
Use the Euclidean algorithm to prove that gcd(na, nb) = n gcd(a, b).
February 29th, 2020
elementary-number-theory
if $X^2 +AX+B=0$ has a rational root, prove it is an integer.
September 5th, 2020
divisibility
elementary-number-theory
How to find all square roots of a number mod a product of primes.
November 14th, 2020
number-theory
elementary-number-theory
Find the numbers that have an inverse modulo 11
February 25th, 2020
inverse
modular-arithmetic
elementary-number-theory
How do you solve diophantine equations using euclidean algorithm?
November 19th, 2020
elementary-number-theory
diophantine-equations
Proving that Pythagorean triples are relatively prime if s and t are odd
October 10th, 2020
elementary-number-theory
pythagorean-triples
show that if $n$ is not divisible by $3$ then $n^2 = 3m+1$ for some integer $m$
December 22nd, 2020
elementary-number-theory
discrete-mathematics
Proving if a set is closed under addition, subtraction, and division
April 14th, 2020
elementary-number-theory
Diophantine equation with negative value
February 28th, 2022
elementary-number-theory
diophantine-equations
linear-diophantine-equations
Show $ 3x^2 + 2 = y^2 $ has no solution in integers.
August 1st, 2022
elementary-number-theory
number-theory
Divisibility rule (mod 9)
February 13th, 2020
elementary-number-theory
modular-arithmetic
Prove that if a and b are integers such that $7$ divides $a^2 + b^2$ , then $7$ divides $a^2$ and $7$ divides $b^2$.
January 18th, 2020
elementary-number-theory
discrete-mathematics
How to find least positive integer
March 6th, 2020
divisibility
elementary-number-theory
name of rule that says: x(x+1) is even number
January 11th, 2020
elementary-number-theory
Sum of three squares: need to check the expressions with the lower powers of $4$.
May 14th, 2020
discrete-mathematics
elementary-number-theory
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