0040

40 is an abundant number. Swiss mathematician Leonhard Euler noted 40 prime numbers generated by the quadratic polynomial n 2 + n + 41 {\displaystyle n^{2}+n+41}, with values n = 0 , 1 , 2 , . . . , 39 {\displaystyle n=0,1,2,...,39}. These forty prime numbers are the same prime numbers that are generated using the polynomial n 2 − n + 41 {\displaystyle n^{2}-n+41} with values of n {\displaystyle n} from 1 through 40, and are also known in this context as Euler's "lucky" numbers.