Geometry
Pythagoras' Theorem
Pythagoras' Big Theorem
Euclid's Elements
Number Theory
Wanless' Theorem - Fermat's Big Theorem
Fermat's Last Theorem
Fermat's Last Theorem (n=4)
Goldbach's Conjecture
Wanless' Theorem - Twin Prime Conjecture
Odd Perfect Numbers
Catalan's Conjecture
Carmichael's Conjecture
Bertrand's Theorem
Dirichlet's Theorem
Collatz Conjecture
Euclid's Highest Common Factor Algorithm
Linear Diophantine Equations
Product = HCFxLCM
Euclid's Infinitude of Primes
Fundamental Theorem of Arithmetic
Form of Pythagorean Triples
Odd Prime as Difference of Two Successive Squares
Square Root of 2 Irrational
Lagrange's Theorem
Sum of Arithmetic Series
Sum of Geometric Series
Binomial Theorem
Fermat's Little Theorem
Form of Fermat Primes
Relative Primality of Fermat Numbers
Form of Even Perfect Numbers
Four-Square Theorem (Lagrange)
Wilson's Theorem
Euler's Theorem
Determination of Euler's Phi Function for any Integer
Chinese Remainder Theorem
4K+1 Prime Unique Sum of Two Squares
4K+3 Prime not Sum of Two Squares
Sum of Three Squares
Gauss' Theorem
Amicable Numbers
Infinitude of Even Perfect Numbers
Infinitude of Fermat Primes
Factorial Prime
Factorial Square
Square Prime
Fibonacci Prime
Riemann Hypothesis
Prime between Squares
Euler's Powers Theorem
Waring's Problem
Beal's Conjecture
Hall's Conjecture
Powers in Progression
Slightly Excessive Numbers
Quet's Conjecture
Infinitude of Carmichael Numbers
Bau's Conjecture
Gronau's Conjecture
Egyptian Fractions
Egyptian Fractions Generalized
ABC Conjecture
Gilbreath's Conjecture
Grimm's Conjecture
Guy's Theorem
Dirichlet's Theorem Extended
Lehmer's Totient Problem
Prime-only Series
Prime Number Theorem
Andrica's Conjecture
No Perfect Cuboid Exists
UPINT B23
Simple Factorizer
Pollard's Rho Factorizer
Pollard's p-1 Factorizer
Elliptic Curve Method Factorizer
Wanless' Factorizer
Wanless' Extended Factorizer
Wanless' (Probable) Primality Tester
The Panfur Project
Diophantus' Arithmetica (work in progress...)
Book I
Book II
Book III
Book VIII
Book IX
Book X
Please email comments/suggestions/additions to:
james@grok.ltd.uk
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