
Despite being called the father of modern arithmetic (that is, number theory), Kummer was rather poor at simple arithmetic. Once, in a class, he needed to find the product of seven and nine. “Seven times nine,” he began, “Seven times nine is er – ah --- ah --- seven times nine is ….” “Sixty-one,” a student suggested. Kummer wrote 61 on the board. “Sir,” said another student, “it should be sixty-nine.” “Come, come, gentlemen, it can’t be both,” Kummer exclaimed. “It must be one or the other.” Kummer then calculated 7 x 9 as follows: “Hmmm the product cannot be 61, because 61 is prime, it cannot be 65, because 65 is a multiple of 5, 67 is a prime, 69 is too big. Only 63 is left.”
He did heavy computations to compute the number of classes of some cyclotomic fields so I doubt a lot of the authenticity of this story...
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