Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 409 hairs. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the largest possible number of inhabitants in that little town?
A youth who collects postage stamps was asked how many he had in his album, and he replied:
"The number, if divided by 2, will give a remainder 1; divided by 3, a remainder 2; divided by 4, a remainder 3; divided by 5, a remainder 4; divided by 6, a remainder 5; divided by 7, a remainder 6; divided by 8, a remainder 7; divided by 9, a remainder 8; divided by 10, a remainder 9. But there are fewer than 3,000."
Can you tell how many stamps there were in the album?
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 409 hairs. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the largest possible number of inhabitants in that little town?
A youth who collects postage stamps was asked how many he had in his album, and he replied:
"The number, if divided by 2, will give a remainder 1; divided by 3, a remainder 2; divided by 4, a remainder 3; divided by 5, a remainder 4; divided by 6, a remainder 5; divided by 7, a remainder 6; divided by 8, a remainder 7; divided by 9, a remainder 8; divided by 10, a remainder 9. But there are fewer than 3,000."
Can you tell how many stamps there were in the album?
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 409 hairs. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the largest possible number of inhabitants in that little town?
A youth who collects postage stamps was asked how many he had in his album, and he replied:
"The number, if divided by 2, will give a remainder 1; divided by 3, a remainder 2; divided by 4, a remainder 3; divided by 5, a remainder 4; divided by 6, a remainder 5; divided by 7, a remainder 6; divided by 8, a remainder 7; divided by 9, a remainder 8; divided by 10, a remainder 9. But there are fewer than 3,000."
Can you tell how many stamps there were in the album?