Rick was counting his collection of bottle caps. He started organizing them in piles. He put all of the bottle caps in piles of four, but found
that there was one left over. Then he put them in piles of five and
found that there were two left over. Then he put them in piles of
seven, and found that there was one left over. Finally he put them in
piles of three, and there weren't any left over. He has less than 100
bottle caps. How many bottle caps does Rick have?