Solution: Since p1 and p2 differ by an odd number, one of them must be even. Since 2 is the only even prime number,
p1 = 2 and p2 = 11113
Sum = 11115
Product = 22226
Winner: Gaurave Sehgal
Monday, October 25, 2010
Two Primes - One puzzle a day - Puzzle Buddies
Puzzle: Two prime numbers p1 and p2 differ by 11111. What are their sum and product?
Solution: Since p1 and p2 differ by an odd number, one of them must be even. Since 2 is the only even prime number,
Solution: Since p1 and p2 differ by an odd number, one of them must be even. Since 2 is the only even prime number,
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11113 - 2 = 11111
ReplyDelete11113 + 2 = 11115
11113 * 2 = 22226
so p1 = 11113 and p2 = 2