There is a long record of "three strands, four strings and five" in China's ancient classic "Zhou Kuai Shu Jing". Let's explore two special types of Pythagoras numbers. (1) is completed by observation

There is a long record of "three strands, four strings and five" in China's ancient classic "Zhou Kuai Shu Jing". Let's explore two special types of Pythagoras numbers. (1) is completed by observation. Solution: (1) As shown in the figure:

(2) According to the data in the table:

In table 1, a is an odd number greater than l, and the quantitative relationship between b and c is b+1= c;

In Table 2, A is an even number greater than 4, and the quantitative relationship between B and C is B+2 = C;

So the answer is: b+ 1=c, b+2 = c;

(3) Table 1, where b=a2 consists of a? 12;

For Table 2, b = A24- 1 is represented by an algebraic expression containing a;

So the answer is: a2? 12; a24- 1；

(4)∵32+42=52,

∴( 15×3)2+( 15×4)2=( 15×5)2,

∴c= 1.