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Numbers are -
67, 71, 73, 79, 83
And sum of prime numbers are 373.
Find the sum of all the prime numbers larger than 2 less than 10^12 that are 1 more than a perfect square. Because the number can get pretty big provide the answer mod 1007.
Note: Problem shouldn't take much more than one minute if your answer is taking too long consider looking for optimizations.
Can you think of three numbers that gives a prime number as their product and also the difference between the second and first is equal to the difference between third and second?
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