Algebra won't help you here
Let be the first prime integer where all 5 integers before it are composite. Let be the first prime integer where all 7 integers before it are composite. Find .
The answer is 126.
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The way that I would suggest to solve this problem is to pull up a list of primes, and look at the spacing in between. When you do this, you find that the two values that work are 29 and 97, which total to 126.