Green Phenomena of Sunrise and Sunset

A few things you didn't know about the "green flash" .

Why you may want to explore the pages here on the "green flash" , more properly known as the green phenomena of Sunrise and Sunset.

A few things you didn't know about the "green flash" .

Why you may want to explore the pages here on the "green flash" , more properly known as the green phenomena of Sunrise and Sunset.

for Writers of Mathematics | phi ( sigma ( n ) ) = sigma ( phi ( n ) ) | |

For Writers of Mathematics

Exponential Prime Power Representation

For Writers on Mathematics and Science

Geometry

Huge Factors of Enormous Integers

Counting Faces on n-dimensional Hypercubes

phi ( sigma ( n ) ) = sigma ( phi ( n ) )

Number Theory

Abundancy : some resources

A little about abundancy

Values of the abundancy function

A Friendly Pair in an Ancient Manuscript

A billion solutions to

phi ( sigma ( n ) ) = sigma ( phi ( n ) )

and a conjecture

Sophie Germain primes

Huge Factors of Enormous Integers

Lots of Factors

Primitive Friendly Integers and Exclusive Multiples

Small Primitive Friendly Pairs

Primitive Friendly Pairs from a Formula

Exponential Prime Power Representation

Casual Visitors - Welcome !

You can view the first couple of these as you would a circus -- even if you have no intention of trying them at home .

Huge Factors of Enormous Integers

Counting Faces on n-dimensional Hypercubes

2007 was the tercentenary of the birth of Leonhard Euler .

Did Euler create modern mathematics ?

statistical truth

post on np ( n ) = n^n + (n+1)^(n+1)

the slide rule

What really counts ?

Human Rights

The Right of Communication

Respect ---> Like ---> Love ---> Peace

Beauty

---> means opens the door to

Inaugurated 2007-11-08 Updated 2016-09-05