Search results

...knows e and can calculate its inverse mod T using the efficient [[Extended Euclidean algorithm]]. That gives him d and he already has N, so now he knows the private key (

'''Proof:''' Because ''p'' and ''q'' are relatively prime, the [[Euclidean Algorithm]] tells us that

first determine the [[greatest common divisor]] (using the [[Euclidean algorithm]]) and then use

...'', resulting from division of ''a'' by ''b''. This is the basis for the [[Euclidean algorithm]] for computing [[greatest common divisor]]s.

...is not immediately obvious. In fact, it is a significant result.<ref>The [[Euclidean algorithm]] may be used to show that <math>\scriptstyle\mathbb{Z}</math> is a [[princ

(the [[Euclidean algorithm]]; ''Elements'', Prop. VII.2) and the first known proof of the [[infinitude ...t., p. 42).</ref> this is a procedure close to (a generalisation of) the [[Euclidean algorithm]], which was probably discovered

...de Minas]], [[Ethnic group]], [[Ethnonym]], [[Etymology of ham radio]], [[Euclidean algorithm]], [[Euclidean geometry]], [[Eugene Debs]], [[Eugenics]], [[Eugenics and st