In order to become a good mathematician, is it necessary to be able to do mental arithmetic, such as knowing how to cube three digit numbers?

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In order to become a good mathematician, is it necessary to be able to do mental arithmetic, such as knowing how to cube three digit numbers?. Do You Mr or Mrs has this kind of question?, If yes then please read the best solution right after below:

Not at all. The best mathematician I know about that was really terrible at arithmetic was Kummer.

One of Kummer’s breakthroughs in his mathematical career is his proof of Fermat’s last theorem for all prime numbers [math]p[/math] less than [math]100[/math], except [math]p=37[/math], [math]59[/math] and [math]67[/math]. He managed to do so by introducing the so-called ideal numbers, a concept which was extended by Dedekind’s more general ring ideals.

However, Kummer’s arithmetic was very poor. Once, in class, he needed the product [math]7times 9[/math]. He couldn’t remember it, so he asked the class to help him. One mischievous student told him that the answer is [math]61[/math]. Kummer duly wrote [math]61[/math] on the board. Another student interjected ‘no, the correct answer is [math]69[/math]’. Annoyed, Kummer told them ‘hey, it cannot be both, it must be one or the other!’. Eventually, he figured out that the correct answer is [math]63[/math]. According to Erdös, he got to the correct answer by using this method: [math]61[/math] is a prime, [math]65[/math] is a multiple of 5, [math]67[/math] is prime, [math]69[/math] is too large, so it must be [math]63[/math].

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