1) Prove that 328^3 + 172^3 is divisible by 2000
2) Prove that 731^3 - 611^3 is divisible by 120
3)Prove that 4719^3 - 2734^3 is divisible by 1985
4)Prove that 19^69 + 69^69 is divisible by 44
5)Prove that 3^105 + 4^105 is divisible by 181 and 49
6)Prove that 2^60 + 7^30 is divisible by 13
7)Prove that (3299^5 + 6)^18 - 1 is divisible by 112
8)Prove that 20^15 - 1 is divisible by 11 × 31 × 61
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