Statements (118)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A positive integer that can be expressed as an integer power of another positive integer, with exponent greater than 1
|
| gptkbp:example |
100
10000 1024 16 1764 1849 1936 2025 216 225 2500 27 32 343 36 4 400 484 49 512 8 81 9 900 125 128 1600 169 441 576 625 64 144 1444 196 324 361 784 1225 256 3600 121 1681 289 243 3844 5625 529 1521 1156 1296 4900 6400 1369 729 841 961 1089 4489 3136 6724 2116 6561 4096 2401 5041 5329 3481 6241 2601 3025 8100 3721 2304 3249 5184 7569 2209 9409 2704 7744 8836 4356 3969 9604 2916 2809 8281 4225 4761 9801 9216 6084 5776 4624 8464 8649 7921 7056 3364 7396 5476 9025 6889 5929 7225 |
| https://www.w3.org/2000/01/rdf-schema#label |
Perfect Power
|
| gptkbp:property |
Perfect powers are studied in number theory
The sequence of perfect powers is infinite The smallest perfect power greater than 1 is 4 All perfect squares and perfect cubes are perfect powers A perfect power can be written as m^k, where m and k are positive integers, k > 1 |
| gptkbp:bfsParent |
gptkb:Musley_Bank_Stables
gptkb:Luke_Morris gptkb:Richard_Fahey |
| gptkbp:bfsLayer |
7
|