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Elementary-number-theory
New post in Elementary-number-theory
What is a natural number?
August 1st, 2022
real-analysis
real-numbers
elementary-number-theory
integers
Induction hypothesis misunderstanding and the fundamental theorem of arithmetic.
August 1st, 2022
arithmetic
prime-factorization
elementary-number-theory
prime-numbers
Show that $5n+3$ and $7n+4$ are relatively prime for all $n$.
October 1st, 2020
elementary-number-theory
Prove by induction that $5^n - 1$ is divisible by $4$.
August 1st, 2022
elementary-number-theory
discrete-mathematics
induction
divisibility
Number of positive divisor
September 17th, 2022
elementary-number-theory
Product of Divisors of some $n$ proof
August 1st, 2022
elementary-number-theory
divisor-counting-function
Sum of integer reciprocals
August 1st, 2022
cubics
integers
elementary-number-theory
number-theory
How to find pattern in $1,2,8,9,15,20,26,38....$ infinite sequence?
August 1st, 2022
pattern-recognition
sequences-and-series
elementary-number-theory
Wieferich's criterion for Fermat's Last Theorem
August 1st, 2022
diophantine-equations
proof-verification
elementary-number-theory
Showing a number $n$ is prime if $(n-2)! \equiv 1 \pmod n$
August 1st, 2022
elementary-number-theory
congruences
A positive integer gets reduced by 9 times when one of its digits is deleted....
August 6th, 2022
elementary-number-theory
sum and product of two rational numbers are both integers
August 30th, 2022
elementary-number-theory
Computing first digits of Fibonacci numbers
August 1st, 2022
elementary-number-theory
numerical-methods
fibonacci-numbers
Are there infinitely many Mersenne primes?
August 1st, 2022
mersenne-numbers
prime-numbers
elementary-number-theory
If $m^4+4^n$ is prime, then $m=n=1$ or $m$ is odd and $n$ even
September 13th, 2022
elementary-number-theory
prime-numbers
Inherently discrete concepts
August 1st, 2022
soft-question
elementary-number-theory
elementary-set-theory
discrete-mathematics
philosophy
If an integer is not divisible by 2 or 5
August 26th, 2022
elementary-number-theory
Is concatenation of digit-strings transitive?
August 1st, 2022
inequality
decimal-expansion
combinatorics-on-words
elementary-number-theory
Prove that every integer $n\geq 7$ can be expressed as a sum of distinct primes.
August 1st, 2022
elementary-number-theory
number-theory
How to show $\gcd(ac, bd) = \gcd(a,d) * \gcd(b,c)$
August 7th, 2022
elementary-number-theory
$3^{15} \mod 17$ I would like using Fermat theorem and doing something like this $\frac{3^{16}}{3} \mod 17$ that is possible?
May 26th, 2020
modular-arithmetic
elementary-number-theory
Every integer greater than 1 is divisible by a prime
August 1st, 2022
elementary-number-theory
$a/b\bmod{m}$ when $m$ is not a prime
June 7th, 2022
elementary-number-theory
modular-arithmetic
Prove that $0$ divides $a$ if and only if $a = 0$
June 1st, 2022
divisibility
elementary-number-theory
How many times do you write the digit 4 when writing all the numbers from 10 to 100?
August 2nd, 2022
elementary-number-theory
Euclid's algorithm - coprime
July 3rd, 2022
euclidean-algorithm
elementary-number-theory
Let $f(x) = x^2 + x + 41$. Show that $f(n)$ is prime for $0 \le n \le 39$, but $f(40)$ is composite.
June 1st, 2022
elementary-number-theory
Even or Odd for factorial
June 1st, 2022
factorial
algorithms
elementary-number-theory
contest-math
Sum of squares of any three consecutive even integers.
September 7th, 2020
elementary-number-theory
$a ≡ b \pmod{b_1}$ and $a ≡ b\pmod{n_2}$, then $a ≡ b\pmod{n}$
June 12th, 2022
modular-arithmetic
elementary-number-theory
prime-numbers
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