The sum of two prime numbers is 85. What is the product of these two prime numbers?
Solution:
The solution to this problem does not involve any formula, expression or method.
The clue is in the problem itself as it is stated that the sum of two prime numbers is 85.
This means that we are looking at prime numbers below hundred.
The simplest way is to list all the prime numbers below 100 and discover the numbers that will achieve the desired result.
| 2 | 3 | 5 | 7 | 11 |
| 13 | 17 | 19 | 23 | 29 |
| 31 | 37 | 41 | 43 | 47 |
| 53 | 59 | 61 | 67 | 71 |
| 73 | 79 | 83 | 89 | 97 |
The two prime numbers which add up to 85 are 2 and 83. Therefore the product of the two numbers is:
Product = 2 × 83 = 166
The sum of two prime numbers is 85. What is the product of these two prime numbers?
Summary:
If the sum of two prime numbers is 85 then the product of two prime numbers is 166.
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