Two prime numbers p1 and p2 differ by 11111.
a.What are their sum and product?
b.How long did it take you to solve it?
Remember, no pen and paper.
Two odd primes differ by an even number, but 11111 is NOT an even number. So, one of them is an odd prime while the other an even prime.
We know that the only even prime number is 2.
Since p1 - p2 =11111, we must have: p2=2, giving: p1=11113
Accordingly, p1+p2=11113+2=11115, and p1*p2=11113*2=22226
Consequently, their respective sum and product is 11115 and 22226.
Time taken: 10 seconds
Puzzle Solution
