#math trivia for #September6: #249 follows this pattern: 49 is a 2nd power. What other three-digit numbers also have this pattern?
— Burt Kaliski Jr. (@modulomathy) September 7, 2013
Every number is a first power of itself, so 100 through 199 all have the pattern.
For the remaining powers:
- 2nd power — 2 followed by all the two-digit squares: 200, 201, 204, 209, 216, 225, 236, 249, 264, 281
- 3rd power — 3 followed by all the cubes: 300, 301, 308, 327, 364
- 4th power — and so on: 400, 401, 416, 481
- 5th power: 500, 501, 532
- 6th power: 600, 601, 664
- 7th power: 700, 701
- 8th power: 800, 801
- 9th power: 900, 901
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