Waste less time on Facebook — follow Brilliant.
×

Some questions

I've red some information about Femat. There was 2 interesting theorems, for which I can't find proof in the internet. So if anyone has some ideas how to proof that and can share them - thanks in advance.

1) 26 is the only number between perfect square and cube (25 and 27).

2) Every prime, that has reminder 1 when divised by 4 is sum of two squares. I tried to prove that, but i stucked up.

Note by Sardor Yakupov
6 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

The first is fittingly named Fermat's sandwich theorem, and the second is Fermat's 4n + 1 theorem.

I have never heard of the first theorem before this post; it's quite fascinating!

Zach Abueg - 6 months ago

Log in to reply

If anyone want the proofs of these theorems, i've found recently them in the book of Edawrds "Last Fermat's Theorem"

Sardor Yakupov - 6 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...