What is the 533rd prime number?
The 533rd prime number is 3847. The next prime is 3851 (a gap of 4) and the one before is 3833.
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 533rd one is 3847.
- 2
3847 is prime because no prime up to ā3847 ā 62.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 533rd prime is close to 533 Ć ln(533) ā 3346, and here it is 3847.
- 4
3847 has no twin: neither 3845 nor 3849 is prime.
Primes around the 533rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 530 | 3821 | 18 |
| 531 | 3823 | 2 |
| 532 | 3833 | 10 |
| 533 | 3847 | 14 |
| 534 | 3851 | 4 |
| 535 | 3853 | 2 |
| 536 | 3863 | 10 |
Questions
What is the 533rd prime number?
3847.
Which prime number is 3847?
3847 is the 533rd prime number.
What is the sum of the first 533 primes?
947,010.