You should be able to find this out quickly with trial and error.
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One more than the product will be the square of the even number between the two odds.
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even
17 and 19.
Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.
The factor pairs of 1295 are (1295,1)(259,5)(185,7)(37,35) None of them are consecutive. 35 and 37 are consecutive odd numbers.
the sum of first 50 consecutive odd numbers is 9801