What is the 530th prime number?
The 530th prime number is 3821. The next prime is 3823 (a gap of 2) and the one before is 3803.
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 530th one is 3821.
- 2
3821 is prime because no prime up to ā3821 ā 61.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 530th prime is close to 530 Ć ln(530) ā 3325, and here it is 3821.
- 4
3821 is a twin prime: 3821 and 3823 are both prime.
Primes around the 530th
| Position | Prime | Gap from the previous |
|---|---|---|
| 527 | 3793 | 14 |
| 528 | 3797 | 4 |
| 529 | 3803 | 6 |
| 530 | 3821 | 18 |
| 531 | 3823 | 2 |
| 532 | 3833 | 10 |
| 533 | 3847 | 14 |
Questions
What is the 530th prime number?
3821.
Which prime number is 3821?
3821 is the 530th prime number.
What is the sum of the first 530 primes?
935,507.