In number theory, **Waring's problem**, proposed in 1770 by Edward Waring, asks whether for every natural number *k* there exists an associated positive integer *s* such that every natural number is the sum of at most *s* *k*th powers of natural numbers (for example, every number is the sum of at most 4 squares, or 9 cubes, or 19 fourth powers, etc.). The affirmative answer, known as the **Hilbertâ€“Waring theorem**, was provided by Hilbert in 1909. Waring's problem has its own Mathematics Subject Classification, 11P05, "Waring's problem and variants."

Read more about Waring's Problem: The Number *g*(*k*)

### Famous quotes containing the word problem:

“What had really caused the women’s movement was the additional years of human life. At the turn of the century women’s life expectancy was forty-six; now it was nearly eighty. Our groping sense that we couldn’t live all those years in terms of motherhood alone was “the *problem* that had no name.” Realizing that it was not some freakish personal fault but our common *problem* as women had enabled us to take the first steps to change our lives.”

—Betty Friedan (20th century)