6. Show that 310 = 1 mod(112) 7. Show that if n is odd and 3 / n, then n? = 1 mod(24) 8. Show that 30|(nº – n) for all p

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6 Show That 310 1 Mod 112 7 Show That If N Is Odd And 3 N Then N 1 Mod 24 8 Show That 30 No N For All P 1 (78.13 KiB) Viewed 41 times

6. Show that 310 = 1 mod(112) 7. Show that if n is odd and 3 / n, then n? = 1 mod(24) 8. Show that 30|(nº – n) for all positive integers n. 9. Show that 1P + 2 + 3P + ... + (p – 1)P = 0 mod p when p is an odd prime. 10. Show that if p is a prime and a and b are integers not divisible by p, with a = bº (mod p), then a = bP (mod p?). 11. Show that if p is a prime and a is an integer, then pla? + (p − 1)!a) 12. Show that if p is prime and p = 3 (mod 4), then (___) != +1 (mod p).