The Ulam numbers u_n, n = 1, 2, 3, ... are defined as follows. We specify that u_1 = 1 and u₂ = 2.
For each successive integer m, m > 2, this integer is an Ulam number if and only if it can be writtenuniquely as the sum of two distinct Ulam numbers. These numbers are named for Stanislaw Ulam,
who first described them in 1964.
42. Find the first ten Ulam numbers.
* 43. Show that there are infinitely many Ulam numbers. - P15