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## Main Question or Discussion Point

If [itex]p [/itex] is a prime or psuedo-prime base [itex]b [/itex] then the following equality holds for all values [itex]\mbox{p , b} [/itex], but how to prove it?

[itex]b^{2p-4}\equiv\mbox{x (mod p)}\Longleftrightarrow b^{p-3}\equiv\mbox{x (mod p)}[/itex]

we are talking about one and the same value for [itex]x [/itex] in the above two congruencies.

Your help would be appreciated - thanks and regards

[itex]b^{2p-4}\equiv\mbox{x (mod p)}\Longleftrightarrow b^{p-3}\equiv\mbox{x (mod p)}[/itex]

we are talking about one and the same value for [itex]x [/itex] in the above two congruencies.

Your help would be appreciated - thanks and regards