What is number theory
@ Mr. Eric | Wednesday, Jan 18, 2023 | 1 minute read | Update at Wednesday, Jan 18, 2023

Number theory is the study of the set of psotive whole numbers 1,2,3,4,5,6…

Some typical number theorytic questions:

  1. Can the sum of two squares be a square?
  2. Which numbers are sums of two squares?
  3. Can the sum of two cubes can be a cube? Can the sum of two fourth powers be a fourth powers? n$^{th}$ power?
  4. A prime number is a number $p$ whose only factors are 1 and $p$.
  5. Number shapes, triangular numbers, square numbers …
  6. Twin primes.
  7. Primes of the form $N^2+1$.
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Number Theory
What is number theory
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