Let's call n the first one
the problem is (n+1)2-n2=17 = 2n+1 then n = 8
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The product between the consecutive prime numbers of 31 and 29 yield a result of 899.
The product of the prime numbers 19 and 23 is 437.
7and 5(7-5=2)
They are 29, 31 (899 = 29 x 31).
Any number greater than one can be co-prime. I guess the answer is 49.