Analysis: To judge whether it is Pythagorean number, we need to judge whether Pythagorean number is a positive integer, and at the same time, we need to verify whether the sum of squares of two small sides is equal to the square of the longest side.

Answer: Correct. Reason:

∵m represents an integer greater than 1,

∴a, B and C are positive integers, and C is the largest side.

∫(2m)2+(m2- 1)2 =(m2+ 1)2，

∴a2+b2=c2，

That is, a, b and c are Pythagoras numbers.

When m=2, a set of pythagorean numbers 3, 4 and 5 can be obtained.

Comments: To solve this problem, we need to use the definition of Pythagorean number and the inverse theorem of Pythagorean theorem: it is known that the three sides of △ABC satisfy a2+b2=c2, then △ABC is a right triangle.