151
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The sum of all prime between numbers 1 and 400 (2 through 399) is 13,887.
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This can be an extension to the proof that there are infinitely many prime numbers. If there are infinitely many prime numbers, then there are also infinitely many PRODUCTS of prime numbers. Those numbers that are the product of 2 or more prime numbers are not prime numbers.
Well, honey, 1000 more than 150 is 1150. It's not rocket science, just basic addition. So, there you have it - 1150, no need to overcomplicate things.
Prime numbers are infinite.