Other Maths
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Jon Perry  
Notes, applets, and proofs on a variety of open problems and conjectures: roots of x^p, highest power of 2 that divides ab + bc + ca, a prime product paradox, consecutive integers, (n + 1)!, Collatz, nsecting a line, the first lower digit, Fibonacci, prime differences, random lines (Buffon's Needle, random circles, and more), a spinning shape, 3d balls, Zapper, a simple proof of Euler's Theorem, Fermat by induction, the density of primes, odd perfect numbers, the definition of kappa, epsilon and delta functions, Riemann's hypothesis, ErdosMoser, prime circles, antidivisor circles, prime triangles, phi, xy  yx = 1, the irrationality of gamma, Perry zeta function, Giuga's conjecture, "knot funny" (descrambling puzzle), is p*2^p+1 ever prime?, a curious mod prime relation, a GCD conjecture, the Carmichael square root theorem, the twin prime conjecture, Germain primes, a perfect cuboid, ErdosStrauss conjecture, LucasCarmichaels, extending ten squares, carry sets, prime rectangles, prime rotations, Hamiltonian cycles, four colour theorem, longest path, Barnette's conjecture, simultaneous squares, partition function, thrackles, sculptures, light trap, znumbers, chess graphs, Ramanujan Tau function, dividing by 7, add/subtract, a prime poem, integral drawing, distance 3 graphs, triangular transform, 123 primes, and more.  


Levels:  High School (912), College, Research 
Languages:  English 
Resource Types:  Course Notes, Web Interactive/Java 
Math Topics:  Modern Algebra, Discrete Math, Euclidean Plane Geometry, Number Theory, Topology 
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