Gregory is a farmer and every morning he makes sure to harvest the eggs of his chickens. He has 72 chickens and 12 chickens in each cage, so a total of 6 cages. Each of his chickens lays only one egg per day.
One morning, Gregory suddenly found out that in cage 1, the 4th and 7th chicken did not lay any egg for the day. He then thought that maybe the chickens are stressed. Then the next day, the same happened to 2 chickens in cage 2. The 9th and 12th chickens had no eggs. The next day, only the 6th chicken in cage 3 and the next day the 2nd and 8th chickens in cage 4.
He then saw a pattern that every day a new cage was having a problem. So, he planned to guard cage 5 the whole night. While guarding that night, he heard movement and rushed to the cage and saw a shadow. He quietly watched the person and saw that they were stealing his eggs. The thief ran away after stealing an egg. Gregory checked and found out that the lost egg was from the 5th chicken.
Gregory had enough and planned to set a trap. Can you help Gregory capture the thief? If you will help Gregory, on which chicken(s) will you put the trap?
HINT 1
Gregory has a brother named Christian
HINT 2
Cage 5 was ransacked on a Friday night
ADDED HINTS:
HINT 3
Born in 16th century, Gregory is very superstitious
HINT 4
After investigating, Gregory found out that the thief was Jason from the other town