What is the 528th prime number?
The 528th prime number is 3797. The next prime is 3803 (a gap of 6) and the one before is 3793.
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 528th one is 3797.
- 2
3797 is prime because no prime up to ā3797 ā 61.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 528th prime is close to 528 Ć ln(528) ā 3310, and here it is 3797.
- 4
3797 has no twin: neither 3795 nor 3799 is prime.
Primes around the 528th
| Position | Prime | Gap from the previous |
|---|---|---|
| 525 | 3769 | 2 |
| 526 | 3779 | 10 |
| 527 | 3793 | 14 |
| 528 | 3797 | 4 |
| 529 | 3803 | 6 |
| 530 | 3821 | 18 |
| 531 | 3823 | 2 |
Questions
What is the 528th prime number?
3797.
Which prime number is 3797?
3797 is the 528th prime number.
What is the sum of the first 528 primes?
927,883.