Did you know?

Fermat little theorem

Fermat little theorem

Fermat's little theorem was coined by Pierre de Fermat in 1640. Fermat little theorem states that

If p is a prime number, then for any integer a, the number ap - a is an integer multiple of p.

In modular arithmetic it is expressed as

ap = a (mod p)

For example, a = 3, p = 5, 35 = 243, 243 - 3 = 240 = 5 x 48 is the integer multiple of 5.

If a is not divisible by p, Fermat's little theorem is equivalent to the statement that ap-1 - 1 is an integer multiple of p:

ap-1 = a (mod p)

For example, a = 3, p = 5, 35-1 = 81 = 81 – 1 = 80 = 5 x 16

Euler given the proof for this theorem in 1736. Fermat theorem become one of the important fundamental result of Elementary number theory. Fermat little theorem is different from the Fermat last theorem (also called as Fermat conjecture)

Latest Facts

Paradox of even and natural numbers
Paradox of even and natural numbers

We would often think that there are more number of natural numbers than the even numbers because nat...

Math Madness
Math madness 0 by 0 equals to 1 by 2

If this is proved to be correct, everything we have learned in our life so far in Mathematics will g...

Benfords Law
Benfords law (first-digit law)

This will be one of the world most unexplained phenomena you would ever see. The miracle of numbers ...

Related Facts

Microwave oven
Microwave oven by percy spencer

Percy Spencer, an American Engineer accidentally discovered Microwave Oven while working on Raytheon...

Chess
Maximum possible chess moves is 10921506 possible position after 7 moves

The number of possibility chess moves after the white move's is 20 (ie 4 knight moves and 16 moves o...

A Beautiful Mind
John nash - a beautiful mind

A Beautiful Mind is the movie based on the life of john nash, who is said to be Nobel Laureate in e...

Time Dilation
Time dilation: your twin sibling will get more youthful than you

Your twin sibling will get more youthful than you when he returns from the space travel. If your twi...

Grigori Yakovlevich Perelman
Grigori yakovlevich perelman a mathematician to solve most difficult problems in topology

Grigori Yakovlevich Perelman is a Russian mathematician, who made a history in Riemannian geometry a...

Daily Maths Topic Today - fermat little theorem.


english Calculators and Converters


Sitemap