Share the loot Equally.

Question

7 Thieves Rob a jewelry shop and run away with the loot ( Precious Stone). They go to an isolated place and take rest but two get up in the middle and tries to share the loot but when they divide equally....1 remains. the same when 3 ....4......5....6....thieves try to divide between them. When all 7 get along, the loot get divided equally. So how much was the loot in numbers & how much did 1 get from the loot.

Answer 1

Possible Answers are 49 or 343 or 2401 ...
49 satisfy everything but 49mod5 is 4 not 1, so 49 is not the answer, similarly 343 does not satisfy all the cases.
2401 mod 2 = 1
2401 mod 3 = 1
2401 mod 4 = 1
2401 mod 5 = 1
2401 mod 6 = 1

So Answer is 2401

Comments

Even 301 is possible..............