Find 1000 consecutive composite integers

Assignment Help Mathematics

Reference no: EM13834520

(1) Prove or disprove the following:

a: n^7-n is divisible by 7

b: n^9-n is divisible by 9

(2) Prove that a^3+b^3+c^3 is greater than or equal to 3abc

(3) Find 1000 consecutive composite integers.

(4) Show that 2^(2^n) +1 and 2^(2^m) +1 are relatively prime.

Reference no: EM13834520

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