A natural gameplay of numbers!

Number Theory Level 2

Let a and b be natural numbers such that

a b = 1 − 1 2 + 1 3 − 1 4 + . . . − 1 1318 + 1 1319 . \large \frac{a}{b} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + ... - \frac{1}{1318} + \frac{1}{1319}.

Is a a divisible by 1979?

BONUS: Prove it

Yes Can't be determined No

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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