Sum of two consecutive Squares - Interesting Pattern ----> 22

Take a look at this patten

1 ^ 2 + 2 ^ 2 = 5
2 ^ 2 + 3 ^ 2 = 13
3 ^ 2 + 4 ^ 2 = 25
4 ^ 2 + 5 ^ 2 = 41
5 ^ 2 + 6 ^ 2 = 61 --------------------> Pattern breaks here
6 ^ 2 + 7 ^ 2 = 85
7 ^ 2 + 8 ^ 2 = 113
8 ^ 2 + 9 ^ 2 = 145
9 ^ 2 + 10 ^ 2 = 181
10 ^ 2 + 11 ^ 2 = 221 ------------------> Pattern breaks here

Continue this sequence - what do you notice?

Alternate results are either multiples of 5 or a Prime number except for situations when we encounter 5, 10, 15, 20.... (as the first number on the left) the pattern breaks for a brief while

Check this....

14 ^ 2 + 15 ^ 2 = 421
15 ^ 2 + 16 ^ 2 = 481 --------------> Pattern breaks here
16 ^ 2 + 17 ^ 2 = 545

Similarly...

19 ^ 2 + 20 ^ 2 = 761
20 ^ 2 + 21 ^ 2 = 841 --------------> Pattern breaks here
21 ^ 2 + 22 ^ 2 = 925