What is the 532nd prime number?
The 532nd prime number is 3833. The next prime is 3847 (a gap of 14) and the one before is 3823.
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 532nd one is 3833.
- 2
3833 is prime because no prime up to ā3833 ā 61.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 532nd prime is close to 532 Ć ln(532) ā 3339, and here it is 3833.
- 4
3833 has no twin: neither 3831 nor 3835 is prime.
Primes around the 532nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 529 | 3803 | 6 |
| 530 | 3821 | 18 |
| 531 | 3823 | 2 |
| 532 | 3833 | 10 |
| 533 | 3847 | 14 |
| 534 | 3851 | 4 |
| 535 | 3853 | 2 |
Questions
What is the 532nd prime number?
3833.
Which prime number is 3833?
3833 is the 532nd prime number.
What is the sum of the first 532 primes?
943,163.