# 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?

**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 Kummerâs breakthroughs in his mathematical career is his proof of Fermatâs 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 Dedekindâs more general ring ideals.

However, Kummerâs arithmetic was very poor. Once, in class, he needed the product [math]7times 9[/math]. He couldnât 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 âno, the correct answer is [math]69[/math]â. Annoyed, Kummer told them âhey, it cannot be both, it must be one or the other!â. Eventually, he figured out that the correct answer is [math]63[/math]. According to ErdÃ¶s, 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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