What is the 524th prime number?
The 524th prime number is 3767. The next prime is 3769 (a gap of 2) and the one before is 3761.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 524th one is 3767.
- 2
3767 is prime because no prime up to ā3767 ā 61.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 524th prime is close to 524 Ć ln(524) ā 3281, and here it is 3767.
- 4
3767 is a twin prime: 3767 and 3769 are both prime.
Primes around the 524th
| Position | Prime | Gap from the previous |
|---|---|---|
| 521 | 3733 | 6 |
| 522 | 3739 | 6 |
| 523 | 3761 | 22 |
| 524 | 3767 | 6 |
| 525 | 3769 | 2 |
| 526 | 3779 | 10 |
| 527 | 3793 | 14 |
Questions
What is the 524th prime number?
3767.
Which prime number is 3767?
3767 is the 524th prime number.
What is the sum of the first 524 primes?
912,745.