In RNS, a set of moduli which are all relatively prime
and independent of one another are given.
(ii) we have a factorization of e(H) = uv, where u is the maximal divisor of e(H) relatively prime
to [k.sub.1] and is also the maximal divisor of e(H) relatively prime
to [k.sub.2];for any divisor d of u, [ord.sub.d][k.sub.1] = [ord.sub.d][k.sub.2].
To prove the statement iv) is equivalent to demonstrate that: If PX = K(x - 1) and PX = K(-xy + 1) have solutions over Z[[Q.sub.8]] where P = [[p.sub.ij]] is an m x n matrix with m [less than or equal to] n, and all m x m minors of [epsilon](P) = [[epsilon]([p.sub.ij])] are relatively prime
, then the system PX = K has a solution over Z[[Q.sub.8]].
The quantities ([lambda]ab) and H([lambda]) are relatively prime
. Consider the equations
Every even number greater than 2 can be expressed as the sum of two relatively prime
Then every monic polynomial f(X) in R[X] of degree relatively prime
to p has OA.
Bruin applied elliptic Chabauty method and other methods to prove that the only solutions of [x.sup.8] + [y.sup.3] = [z.sup.2] are non-zero relatively prime
integers ([+ or - ]1, 2, [+ or -]3) and ([+ or -]43, 96222, [+ or -]30042907).
The reason this trick works is that 13 is a prime number and is therefore "relatively prime
" to any number that is not a multiple of 13.
The source of the problem was that there were two motions in the rolling piston animation (inner and outer circle-rotations), and the periods of these two motions were relatively prime
. To resolve this, we noted that we can change [theta] and [empty set] by changing the radius of the inner and outer circles.
In RSA the cipher text C is obtained for the plaintext message M [member of] [z.sup.*.sub.N] as C = [M.sup.e] mod N, where N is the product of two large prime numbers of same length, e is the public key chosen such that it is relatively prime
with the Euler totient function [phi](N) and 1 < e < [phi](N).
A special case of the Euler's function can be used to find the number of integers that are relatively prime