No. There is no set of three consecutive even integers with a sum of 40.
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The integers are -37, -36 and -35. Also, using consecutive even integers: -38, -36 and -34.
31 32 33
They are -12, -10 and -8.
There are no two consecutive integers whose product is 421 - the product of 20 and 21 is 420.
The consecutive odd integers for 114 are 37, 38 and 39.