hi there I having some troble with a few problems i was wondering if i could get some help? x^2 equvilent to -1 mod 19 x^2 equvilent to -1 mod 19 4x equvilent to 6 mod 15 thanks for your help
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Originally Posted by bugal402 4x equvilent to 6 mod 15 thanks for your help I'll defer the first too to more able number theorists. this is solvable since . Now do you know how to solve Diophantine equations? P.S. It might be easier to just guess :S
exists modulo . You can find by the Euclidean algorithm. I omit details but . So
Originally Posted by bugal402 hi there I having some troble with a few problems i was wondering if i could get some help? x^2 equvilent to -1 mod 19 x^2 equvilent to -1 mod 19 You asked twice the same......anyway, the equation has a solution iff , so in your case... Tonio 4x equvilent to 6 mod 15 thanks for your help .
Originally Posted by Drexel28 I'll defer the first too to more able number theorists. this is solvable since . Now do you know how to solve Diophantine equations? P.S. It might be easier to just guess :S I know how to do Diophantine equations. thanks again
Originally Posted by tonio . you are right I did the second one was supposed to be x^2 equvilent to -1 mod 17 sorry about that
Originally Posted by tonio . So this one does not have a solution right?
Originally Posted by bugal402 So this one does not have a solution right? The one for 19 hasn't , and the one for 17 has...and a pretty easy one, in fact. Tonio
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