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?(adsbygoogle = window.adsbygoogle || []).push({});

[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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Congruent equality - how to prove?

**Physics Forums | Science Articles, Homework Help, Discussion**