What is the 525th prime number?
The 525th prime number is 3769. The next prime is 3779 (a gap of 10) and the one before is 3767.
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 525th one is 3769.
- 2
3769 is prime because no prime up to ā3769 ā 61.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 525th prime is close to 525 Ć ln(525) ā 3288, and here it is 3769.
- 4
3769 is a twin prime: 3767 and 3769 are both prime.
Primes around the 525th
| Position | Prime | Gap from the previous |
|---|---|---|
| 522 | 3739 | 6 |
| 523 | 3761 | 22 |
| 524 | 3767 | 6 |
| 525 | 3769 | 2 |
| 526 | 3779 | 10 |
| 527 | 3793 | 14 |
| 528 | 3797 | 4 |
Questions
What is the 525th prime number?
3769.
Which prime number is 3769?
3769 is the 525th prime number.
What is the sum of the first 525 primes?
916,514.