Theory NO. 1 : Number Theory
Prove that for every natural number there exists different natural numbers such as sum of any two is divisable by their diffrence.
Because number is divisable by , we can write and of course . Adding those two together:
1. Sequence 1,2 works
2. Assume that sequence works, then the number is divisable by the difference of any two numbers from the sequence
3. Let , then a sequence, including numbers:
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