I have two problems-

1.Find all primes \(p\) such that there are positive integers \(a\) and \(b\) for which \(p=a^{2}+b^{2}\) and \(a^{2}+b^{2}\) divides \(a^{3}+b^{3}-4\).

2.Find all natural numbers \(n\) and \(k\) such that \(2^{n}+3=11^{k}\).

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TopNewest@Souryajit Roy If you can't, no one can ;)

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Sweet Sarcasm

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Hey @Souryajit Roy , I got the answer for problem 2. The only solution is \((3,1)\). I will post the solution soon. It's very easy.

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When you will give the solution ? It has been a month -_-

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Ohhh Sorry!! I forgot about this. I will provide you today.

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Sorry, I lost the paper on which I wrote the solution. And I forgot the way I proved it as it is too long. Sorry :(

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