Problems & Puzzles: Puzzles

Puzzle 1030. A puzzle cousin of Puzzle 1027

In this puzzle Rodolfo Kurchan now asks for numbers that are equal to the sum of K<=10 integers A, B, ... such that the conjunction of these summands shown no repeated digits.

Examples:

393 = 352 + 41
856 = 856
1000 = 987 + 13
1111 = 987 + 124 
45 = 45 o 42 + 3 o 1+2+3+4+5+6+7+8+9
10002 = 9874 + 125 + 3

Q1. Find the smallest integer N that can not be obtained such way?

Q2. Redo Q1 for N=prime. 

 


Records   |  Conjectures  |  Problems  |  Puzzles