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Find the smallest positive integer fitting the following description:

i. All its digits, except two, are sixes.
ii. It is prime.

Why is this puzzle D2?

(No Solution Yet, 4 Comments) Submitted on 2017-03-27 by Ady TZIDON    

Number 3 can be expressed as the sum of one or more positive integers in 4 distinct ways:
3; 2 + 1; 1 + 2; 1 + 1 + 1
Number 4 can be expressed as the sum of one or more positive integers in 8 distinct ways:
4; 3 + 1; 1+3; 2 + 2; 2 + 1 + 1; 1+2+1; 1+1+2; 1+1+1+1
Prove : any positive integer n can be so expressed in 2n - 1 ways.
(No Solution Yet, 5 Comments) Submitted on 2017-03-26 by Ady TZIDON    

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