Mikael Jensen's user avatar
Mikael Jensen's user avatar
Mikael Jensen's user avatar
Mikael Jensen
  • Member for 10 years, 11 months
  • Last seen more than a week ago
  • Sweden
4 votes

Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer?

4 votes

Why there is no "Nobel Prize" in mathematics however it is one of the most important fields in sciences in the side of research?

4 votes

Show that there is no positive real number which is less than every positive real number.

2 votes

$p = x^2 + xy + y^2$ if and only if $p \equiv 1 \text{ mod }3$?

2 votes

Prove that $5^n + 2\cdot3^{n-1} + 1$ is multiple of $8$

2 votes

Find the last two digits of the number $7^{100}-8^{100}$.

2 votes

am I allowed to choose epsilon in this way in cauchy sequence?

2 votes

Comparing $\sqrt{1001}+\sqrt{999}\ , \ 2\sqrt{1000}$

1 vote

What is special about the numbers 9801, 998001, 99980001 ..?

1 vote

$ k x^2 +4x = n $, Algorithm or any other method needed

1 vote

Of any 52 integers, two can be found whose difference of squares is divisible by 100

1 vote

$x^2-1$ with prime factors $< 100$

1 vote

Prove by induction that $7a + 10b$ can represent all integers $n \ge 54$

1 vote

How is $9^{40}\equiv\ 1 \pmod {100}$?

1 vote

Exponential diophantine: $(a^r+1)(b^s+1)=c^t+1$?

1 vote

Prove for every odd integer $a$ that $(a^2 + 3)(a^2 + 7) = 32b$ for some integer $b$.

0 votes

Elementary number theory equation simplification

0 votes

If $m$ and $a$ are co-prime positive integers then show that $ax \equiv b \pmod m$ has a solution, and any two solutions differ by a multiple of m.

0 votes

Proving that numerator of harmonic series is divisible by p

0 votes

Simple algebra rearrangment

0 votes
Accepted

Cauchy's limit concept

0 votes

How do you prove this property? (Probability and expected value)

0 votes

Dividing Two Infinities

0 votes

Is mathematics one big tautology?

0 votes

All real numbers can be expressed as a limit of rational numbers?