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Other Maths
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| http://www.users.globalnet.co.uk/~perry/maths/othermaths.htm | |
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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, n-secting 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, Erdos-Moser, prime circles, anti-divisor 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, Erdos-Strauss conjecture, Lucas-Carmichaels, 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, z-numbers, chess graphs, Ramanujan Tau function, dividing by 7, add/subtract, a prime poem, integral drawing, distance 3 graphs, triangular transform, 123 primes, and more. | |
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| Levels: | High School (9-12), 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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