Welcome to

Up for the Count !

           

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.

     

Images of Comet ISON

     

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

for Writers on Mathematics and Science

Abundancy : some resources

Geometry

Primitive Friendly Integers and Exclusive Multiples

Number Theory

Counting Faces on n-dimensional Hypercubes

Higher Arithmetic

Huge Factors of Enormous Integers

for Casual Visitors

Exponential Prime Power Representation

           

For Writers of Mathematics

Counting in Separate Realms

Perfect Numbers Concise

Exponential Prime Power Representation

           

For Writers on Mathematics and Science

Perfect Numbers Concise

The Fermat-Wiles Theorem

Why is .999... = 1 ?

           

Geometry

Huge Factors of Enormous Integers

Counting Faces on n-dimensional Hypercubes

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

Doric Columns of Primes

           

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

Near-multiperfects

Counting in Separate Realms

The Fermat-Wiles Theorem

Perfect Numbers Concise

Why is .999... = 1 ?

Really Fast Primality Test

Doric Columns of Primes

Errata

           

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

Doric Columns of Primes

Counting Faces on n-dimensional Hypercubes

The Fermat-Wiles Theorem


2007 was the tercentenary of the birth of Leonhard Euler .
Did Euler create modern mathematics ?

new :

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