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Prime Newtons

420K subscribers

Latest from Prime Newtons

Prime Newtons
Compute the smallest integer k

This is a clean application of Kummer's theorem.

12:04
Compute the smallest integer k

2,049 views

13 hours ago

Prime Newtons
Kummer's Theorem

This theorem was discovered by the German Mathematician E. E. Kummer.

17:54
Kummer's Theorem

5,331 views

1 day ago

Prime Newtons
13 facts about this hyperbola and how to find them

This was my attempt at answering every possible test question you may get on the topic of the hyperbola. I even added a bonus ...

27:24
13 facts about this hyperbola and how to find them

1,674 views

2 days ago

Prime Newtons
A good use for the lambert W function

Source: Problem 10, February 15, 2014, Calculus Test, Rice Mathematics Tournament. See http://www.ruf.rice.edu/ ...

13:38
A good use for the lambert W function

4,229 views

4 days ago

Prime Newtons
The last 2 digits of a perfect square cannot be both odd.

This is based on the parity of numbers in the decimal system.

8:24
The last 2 digits of a perfect square cannot be both odd.

23,800 views

5 days ago

Prime Newtons
A system of linear, quadratic and radical equations

Happy New Year.

16:49
A system of linear, quadratic and radical equations

10,893 views

6 days ago

Prime Newtons
A beautiful trick for solving quartic  polynomials

This trick helps you solve a quartic polynomial in this special circumstance of (x+a)(x+b)(x+c)(x+d) is such that a+b = c+d.

11:09
A beautiful trick for solving quartic polynomials

12,844 views

7 days ago

Prime Newtons
Revisiting antidifferentiation technique

In this video, I showed that the OG method of integration may sometimes be the best approach to a seemingly difficult integration ...

7:11
Revisiting antidifferentiation technique

3,979 views

8 days ago

Prime Newtons
Integration using the king's property.

This video is a very easy example of how to use the king's property of definite integrals.

9:27
Integration using the king's property.

6,234 views

9 days ago

Prime Newtons
The King's Property of Definite Integrals (reflection property).

In this video, I prove the King's Property of Integration (the reflection property) int_a^b f(x) dx = int_a^b f(a+b-x) dx. You'll see a ...

10:35
The King's Property of Definite Integrals (reflection property).

5,313 views

10 days ago

Prime Newtons
Find all primes such that P^2 + 2 is also prime

This simple proof relies on the properties of primes and the rules of divisibility.

6:59
Find all primes such that P^2 + 2 is also prime

32,606 views

6 months ago

Prime Newtons
A system of linear, quadratic and radical equations

Happy New Year.

16:49
A system of linear, quadratic and radical equations

10,893 views

6 days ago

Prime Newtons
1995 British Mathematics Olympiad problem

This problem is from the 1995 BMO.

20:59
1995 British Mathematics Olympiad problem

312,532 views

1 year ago

Prime Newtons
Find all positive integer n

The idea is of consecutive even integers.

16:49
Find all positive integer n

51,849 views

1 year ago

Prime Newtons
Find all real x

This is a competition problem from Korea. It reaquires one to invent a definite finality by algebraic manipulation. So I would say it is ...

10:48
Find all real x

45,079 views

1 year ago