You should be able to find this out quickly with trial and error.
Or
One more than the product will be the square of the even number between the two odds.
even
17 and 19.
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.
Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.
Adding consecutive pairs of numbers will always turn out to be an odd number. It would have to be consecutive odd numbers: 45 and 47.
The two consecutive, odd integers whose product equals 143 are 11 and 13.
Their product is 143.
The consecutive odd number with a product of 12099 are 109 and 111.
There is no set of 3 consecutive odd numbers whose product is 6,873. However, there is a set of 3 consecutive odd numbers whose sum is 6,873: 2289, 2291, and 2293.
11 and 13
If you know that 144 is 12 squared, it would make sense to try 11 and 13. And viola!
17,19,21
even
17,19,21
Do you mean what two consecutive odd numbers gives a product of 195? If so then: 13*15 = 195
No two consecutive numbers have a product that is an even number. Any two consecutive numbers include one odd number and one even number. The product of one odd number and one even number is always an odd number.
There are no two consecutive odd numbers.