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117

The smallest prime is 2. In order for the difference between two primes to be 34, the other prime has to be at least 36.

Between 36 and 40 (the max allowed), only one Prime number exists: 37

In order for the difference to be 34, the first prime number must therefore be 71 or 3.

Since 71 is larger than 40, it can be excluded, leaving you with 3 instead.

So the two numbers/primes less than 40 are 37 and 3. Their difference is 34. And their product is 117

Q: What is a product of two primes less than 40 whose difference is 34?

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