Solution

159154

First name
Archisman
School
The Future Foundation School
Country
Age
11

The pattern is:
When value is from - infinite to +6, n+10 is larger
But from +8 to +infinite 2n+3 is larger
And 7 is the neutral as only for 7 n+10 and 2n+3 is equal.
( ONLY APPLICABLE FOR INTEGERS)