523 is a prime number from 501-600. 523 has 2 factors, 1 and 523. It is the 99th prime number, and the fourth prime number from 501-600.
Proofs[]
As an Exponent of Mersenne Number[]
2523 - 1 is not a prime number. The divisor has 69 digits[1]:
160188778313202118610543685368878688932828701136501444932217468039063
Relationship with other odd numbers[]
The numbers before[]
- The previous prime number is 521.
- There are no odd numbers between 521 and 523. As a result, they are twin primes.
- The previous prime number before 521 is 509.
- 511 is divisible by 7, while 517 is divisible by 11. Both numbers are composite.
The numbers after[]
- The next prime number is 541. There is a tremendous 18-number prime gap between 523 and 541. All numbers between them are composite. In particular:
- 527 is the product of 17 and 31.
- 529 is the square of 23.
- 533 is the product of 13 and 41.
- 539 can be factored as 72 x 11.
- 531 and 537 are divisible by 3, and 535 is visibly divisible by 5.
- 547 is the next prime number after 541.