Question

13,74,290 650,...... ............​

Answer 1

The following numbers are sum of squares of prime numbers. ( starting from smallest prime number )

First eight prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19

• 2² + 3³ = 4 + 9 = 13
• 5² + 7² = 25 + 49 = 74
• 11² + 13² = 121 + 169 = 290
• 17² + 19² = 289 + 361 = 650

Next two prime numbers are 23 and 29

23² + 29² = 529 + 841 = 1370

The next number in the series is 1370

13, 74, 290, 650, 1370

Answer 2

Answer:

This is sum of squares of prime numbers

I. e.

$2^2 + 3^5 = 13$

$5^2 + 7^2 = 74</p><p> \\ 11^2 + 13^2 = 290$

$17^2 + 19^2 = 650</p><p> \\ 23^2 + 29^2 = 1370$

13, 74, 290, 650, 1370.