Processing math: 100%

SEARCH THIS BLOG :-)

Wednesday, 20 January 2016

New largest prime discovered 2^{74\,207\,281}-1

New largest prime discovered 

\Huge2^{74\,207\,281}-1

Recall a prime number is one which is only divisible by itself and 1 and the smallest prime numbers are 2,3,5,7,11,13,17,....

The new largest prime number has got over 22 million digits! that's right!
The number 1\,000\,000 has 7 digits! Can you imagine a number with 22 million digits!
A book may have say 2000 characters to a page, so that's about 22\,000\,000\div 2000=11\,000 pages just to write out the number long hand!

PHYS.ORG

Thursday, 14 January 2016

Euler's Formula for Simple Polyhedras F+V-E=2


Definition: 
A SIMPLE POLYHEDRON is a polyhedron which has no holes.

THEOREM:
Euler's Formula for Simple Polyhedra. 
If V is the number of vertices, E the number of edges, and F the number of faces of a simple polyhedron, then F+V-E=2

Note: Most articles will quote this result for convex polyhedrons only, but it holds for those concave polyhedra without holes also.


Wednesday, 6 January 2016

NUMBERS AND THE UNIVERSE.

NUMBERS AND THE UNIVERSE.

Here is a great reference for the number of stars in our galaxy (\ge 100 billion stars) and the number of galaxies in the observable Universe (\ge 100 billion galaxies) and my favourite,, dark energy and dark matter makes up 95\% of the Universe. The rest is only 5\%, that is the observable universe, all the stars, planets,... constitute only 5\% of the Universe! Well, that's according to the latest in science at NASA..

Tuesday, 5 January 2016

Bit of Fun. Patterns in multiplications.

Bit of Fun. Patterns in multiplications.
I saw this online somewhere. Instead oif 8 you could put another single digit number but most give boring results. Except 9 which gives an impressive regular pattern, see below.
\Large 1\times 9+1=10
\Large 12\times 9+2=110
\Large 123\times 9+3=1110
\Large 1234\times 9+4=11110
\Large 12345\times 9+5=111110
\Large 123456\times 9+6=1111110
\Large 1234567\times 9+7=11111110
\Large 12345678\times 9+8=111111110
\Large123456789\times 9+9=1111111110
x