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... most of whom are university teachers and students. These articles should be lively and well motivated, with new ideas that develop enthusiasm for number sequences or the exploration of number facts. Illustrations and tables should be wisely used to clarify the ideas of the manuscript. Unanswered que ...
... most of whom are university teachers and students. These articles should be lively and well motivated, with new ideas that develop enthusiasm for number sequences or the exploration of number facts. Illustrations and tables should be wisely used to clarify the ideas of the manuscript. Unanswered que ...
Recursive Rules for Sequences
... Begin with a pair of newborn rabbits that never die. When a pair of rabbits is two months old, it begins producing a new pair of rabbits each month. ...
... Begin with a pair of newborn rabbits that never die. When a pair of rabbits is two months old, it begins producing a new pair of rabbits each month. ...
Slides Week 5 RSA - Goldsmiths, University of London
... • An integer which is greater than 1 and not a prime number is said to be composite. • Thus given a composite number c we know that c=r*s for some non-trivial integers r and s. ...
... • An integer which is greater than 1 and not a prime number is said to be composite. • Thus given a composite number c we know that c=r*s for some non-trivial integers r and s. ...
Theory Behind RSA
... of p1, p2, …, pk, so must be divisible by a prime not on the list. The largest known prime is 213,466,917-1, which has 4,053,946 digits Primality: Simply start checking for divisibility by 2, 3, 4, 5, 6, 7, … A number n is prime if it isn’t divisible by any number up to n Determining whether ...
... of p1, p2, …, pk, so must be divisible by a prime not on the list. The largest known prime is 213,466,917-1, which has 4,053,946 digits Primality: Simply start checking for divisibility by 2, 3, 4, 5, 6, 7, … A number n is prime if it isn’t divisible by any number up to n Determining whether ...
Collatz conjecture
The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers.Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process (which has been called ""Half Or Triple Plus One"", or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. The property has also been called oneness.Paul Erdős said about the Collatz conjecture: ""Mathematics may not be ready for such problems."" He also offered $500 for its solution.