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A175052
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Perfect powers (members of A001597) n where the next larger perfect power is congruent mod 2 to n.
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1
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4, 25, 32, 121, 128, 196, 225, 343, 484, 1000, 1331, 1728, 2048, 2187, 2197, 2704, 3025, 3375, 4913, 5776, 6859, 7744, 8000, 8100, 9261, 10648, 12167, 13824, 16641, 17424, 19683, 21904, 24389, 26896, 29791, 32768, 35721, 39204, 42849, 50625
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