Henry Ernest Dudeney/Puzzles and Curious Problems/165 - The Postage-Stamps Puzzle

by : $165$

 * The Postage-Stamps Puzzle
 * A youth who collects postage stamps was asked how many he had in his collection, 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 $3000$."


 * Can you tell how many stamps there were in the album?