Number theory example|if p is an odd prime prove that (2.3.4.5......)^2 is cong to (-1)^(p+1)/2 modp

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(Number Theory) Show that if p is an odd prime then 2p|(2^(2p - 1) - 2) (Number Theory) Show that if p is an odd prime then 2p|(2^(2p - 1) - 2)
Example 1^2.3^2......(p-1)^2 = (-1)^(p+1)/2 (mod p) Example 1^2.3^2......(p-1)^2 = (-1)^(p+1)/2 (mod p)
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calculate mod (using scientific calculator ). calculate mod (using scientific calculator ).
Modulo Operator Examples #Shorts #math #maths #mathematics #computerscience Modulo Operator Examples #Shorts #math #maths #mathematics #computerscience
if p is an odd prime prove that(-z/p)={1 if p=1mod8 or p=3(mod 8) #hpu #lovemaths if p is an odd prime prove that(-z/p)={1 if p=1mod8 or p=3(mod 8) #hpu #lovemaths