Kuldeep and his girlfriend Cristie are both huge math nerds, so for their first anniversary he decides to take her out on a romantic getaway to Mathland, the city of mathematics and love.

Now Kuldeep's arch-nemesis Rishabh, jealous of the perfect relationship between Kuldeep and Cristie, kidnaps Kuldeep's girl and imprisons her at the top floor of his dungeon.

Surprisingly the dungeon is in an apartment complex of n floors, numbered 1 to n, and being short on cash Rishabh can only lease some floors (continious) for his dungeon from floor a to floor b (inclusive).

Also to make sure so that Kulddep cannot come and rescue his girlfriend, Rishabh places guards on some of the floors he has leased.

Being a bit eccentric, he only places guards on those floors from a to b (inclusive), where the floor number has highest number of divisors.

Kuldeep apart from being a math genius is extremely proficient in the art of Wu Shu, a type of Chinese martial art, so it's easy for him to defeat the guards but he still takes 1 unit of health damage per guarded floor and Kuldeep dies if his health ever reaches 0 or less.

Your task is to help Kuldeep find the minimum amount of health units he needs to reach Cristie.

Input :

first line contain number of test cases T , next T line contains two numbers a and b.

Output :

Output minimum amount of health units he needs to reach Cristie.

Constraints:
1<=T<=100
1<=n(number of floors)<=10^8
0<=b-a<=10^4