#!/usr/bin/env python3
A=set(range(1,13))|{16,113}|set(range(13,111,2))
S=sorted({a+b for a in A for b in A})
print(len(A),sorted(A))
print('odd sums',[x for x in S if x%2])
print('even sum holes',[x for x in range(2,227,2) if x not in S])
print('all missing products in [2,226]',[x for x in range(2,227) if x not in {a*b for a in A for b in A}])
print('all sum missing products',[x for x in S if x not in {a*b for a in A for b in A}])