x + 2 - mrhubbard
... The standard form is not unique. For example, x2 - x + 1 = 0 can be written as the equivalent equation -x2 + x - 1 = 0. Also, 4x2 - 2x + 2 = 0 can be written as the equivalent equation 2x2 - x + 1 = 0. Why is this equivalent? ...
... The standard form is not unique. For example, x2 - x + 1 = 0 can be written as the equivalent equation -x2 + x - 1 = 0. Also, 4x2 - 2x + 2 = 0 can be written as the equivalent equation 2x2 - x + 1 = 0. Why is this equivalent? ...
On the Number of False Witnesses for a Composite Number
... F(n) = n - 1 and F(n) is the entire group of reduced residues mod n. For any n, Lagrange’s theorem gives F(n) 1I$( n), where tp is Euler’s function. There are composite numbers n for which P(n) = cp(n), such as n = 561. Such numbers are called Carmichael numbers and probably there are infinitely man ...
... F(n) = n - 1 and F(n) is the entire group of reduced residues mod n. For any n, Lagrange’s theorem gives F(n) 1I$( n), where tp is Euler’s function. There are composite numbers n for which P(n) = cp(n), such as n = 561. Such numbers are called Carmichael numbers and probably there are infinitely man ...
The Probability that a Random - American Mathematical Society
... estimates for simplicity, but a more careful estimation would give a better result. One possible way to gain an improvement is to replace the Fermât congruence with the strong probable prime test of Selfridge. This test is just as easy to perform and it "lies" less frequently about composite numbers ...
... estimates for simplicity, but a more careful estimation would give a better result. One possible way to gain an improvement is to replace the Fermât congruence with the strong probable prime test of Selfridge. This test is just as easy to perform and it "lies" less frequently about composite numbers ...