Enigma 1128: Daffodils
13 February 2017
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From New Scientist #2284, 31st March 2001 [link]
Saul Tregenza is a market gardener. He has a field in which he decided that it could be profitable to plant equal rows of daffodils. On a whim prompted by helping with his daughter’s homework, he decided that the number of rows and the number of bulbs in each row should be prime, and that all the digits that would form the two numbers and their product would be different.
Luckily, he found that the field is long enough to hold the maximum possible number of plants under these whimsical conditions.
What was the maximum possible number of bulbs he could plant?