Editing Waring's problem (section)

{{Short description|Mathematical problem in number theory}}
In [[number theory]], '''Waring's problem''' asks whether each [[natural number]] ''k'' has an associated [[positive integer]] ''s'' such that every natural number is the sum of at most ''s'' natural numbers raised to the power ''k''. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers. Waring's problem was proposed in 1770 by [[Edward Waring]], after whom it is named. Its affirmative answer, known as the '''Hilbert–Waring theorem''', was provided by [[David Hilbert|Hilbert]] in 1909.<ref>{{cite journal| first = David | last = Hilbert | author-link = David Hilbert | title=Beweis für die Darstellbarkeit der ganzen Zahlen durch eine feste Anzahl n-ter Potenzen (Waringsches Problem) |language=de |journal=[[Mathematische Annalen]] |volume=67 | pages=281–300 |year=1909 | issue=3 | doi=10.1007/bf01450405 | mr=1511530| s2cid = 179177986 | url = https://zenodo.org/record/1428266 }}</ref> Waring's problem has its own [[Mathematics Subject Classification]], 11P05, "Waring's problem and variants".