Theorem', let pbe aprime number, a integer (ap) -ndpocitive integer.In this cose;d! (¿ pau) TEa (mod p)メsolution.The congruence a hos2-) . p-)E1 (mad p) ifx^ =a lmod p)the numberhos asolution. ondてne congrueへceis (n, p-1).of soutions of thecongruenceUsing this theerem , solve the follawing congruence24E 10 (med 37)

We need to use the above given two theorems to find the solution for the given congruence

てheorem' Let p be aprime number, a integer (ap)-1 0nd pacitive integer. In this cose; ) #1 (mod p) (mod p) if E a solution. The congruence a hos 2-) 6.p-1) E1 (mad p) if x^ =a lmod p) the number hos a solution. ond The congruence a x^ =a is (n, p-1). of soutions of the congruence Using this theerem, solve the followingcngruence 24 E 10 (med 37)

てheorem' Let p be aprime number, a integer (ap)-1 0nd pacitive integer. In this cose; ) #1 (mod p) (mod p) if E a solution. The congruence a hos 2-) 6.p-1) E1 (mad p) if x^ =a lmod p) the number hos a solution. ond The congruence a x^ =a is (n, p-1). of soutions of the congruence Using this theerem, solve the followingcngruence 24 E 10 (med 37)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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