A band of 19 pirates has stolen a sack of coins. When they tried to divide the fortune into equal portions, 5 coins remained. In the ensuing brawl over the extra coins, one pirate was killed. The wealth was redistributed equally but then 8 coins remained. Another fight arose and another pirate was killed. But now the coins were distributed equally among the remaining pirates. What is the least number of coins that could have been stolen, by using The CRT (Chinese Remainder Theorem)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A band of 19 pirates has stolen a sack of coins. When they tried to divide the fortune into equal portions, 5 coins remained. In the ensuing brawl over the extra coins, one pirate was killed. The wealth was redistributed equally but then 8 coins remained. Another fight arose and another pirate was killed. But now the coins were distributed equally among the remaining pirates. What is the least number of coins that could have been stolen, by using The CRT (Chinese Remainder Theorem) 

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