What is the 531st prime number?
The 531st prime number is 3823. The next prime is 3833 (a gap of 10) and the one before is 3821.
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 531st one is 3823.
- 2
3823 is prime because no prime up to ā3823 ā 61.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 531st prime is close to 531 Ć ln(531) ā 3332, and here it is 3823.
- 4
3823 is a twin prime: 3821 and 3823 are both prime.
Primes around the 531st
| Position | Prime | Gap from the previous |
|---|---|---|
| 528 | 3797 | 4 |
| 529 | 3803 | 6 |
| 530 | 3821 | 18 |
| 531 | 3823 | 2 |
| 532 | 3833 | 10 |
| 533 | 3847 | 14 |
| 534 | 3851 | 4 |
Questions
What is the 531st prime number?
3823.
Which prime number is 3823?
3823 is the 531st prime number.
What is the sum of the first 531 primes?
939,330.