n^4 + 3n^2 + 2 is never a perfect square
This is an interesting number theory problem using the parity of expressions and the rules of divisibility by 4.
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sqrt2, sqrt5 and sqrt7 cannot be terms of the same geometric progression.
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Find all positive integer n
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Prove that n⁷ +7 is never a perfect square.
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Prove that n^3 +11n is divisible by 6
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Solve for all positive integers [Diophantine]
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Find all natural numbers for which n^10 + n^5 +1 is prime
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Show that ln(101/100) is greater than 2/201 without calculators
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Prove 3^n + 7^n -2 is divisible by 4
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x^2 + 615 = 2^y
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No One Could Solve This… Until Euler
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Determine a and n
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Prove that the nested radical is less than 2 for all n
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