Ivan Shishkin, Rye (1878)

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n2026n^{2026} begins with 20262026

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Solution

Solution by Forky · EN

The number X = n at power 2026 can be written as 10000x + 2026 = 2(5000x + 1013), with 5000x + 1013 as an odd number. X is a pefect square of n at power 1013. Then X cannot double of an odd number. No solution

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