 Note that the same argument applies to the number 6, that is, "g"(6) = 6.There are arbitrarily long sequences of consecutive numbers "n", "n" + 1, …, "n" + "m" on which the function "g" is constant.The integer sequence "g"(0) = 1, "g"(1) = 1, "g"(2) = 2, "g"(3) = 3, "g"(4) = 4, "g"(5) = 6, "g"(6) = 6, "g"(7) = 12, "g"(8) = 15, ... is named after Edmund Landau, who proved in 1902 that
(where ln denotes the natural logarithm).