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List of recent and upcoming (non-trivial) perfect power years - ijabbott - 02-29-2024 08:55 AM
From A001597 - OEIS, Perfect powers: \(m^k\) where \(m > 0\) and \(k >= 2\) (list):
\(
1936 = 44^2 \\
2025 = 45^2 \\
2048 = 2^{11} \\
2116 = 46^2
\)
People born in 1980 should be celebrating on their birthday in 2025 that their age is the square root of the year, as discussed in episode 080 of the A Problem Squared podcast by Matt Parker and Bec Hill. (Matt Parker was born in 1980 and has been looking forward to this event for some time.)