What is the 534th prime number?
The 534th prime number is 3851. The next prime is 3853 (a gap of 2) and the one before is 3847.
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 534th one is 3851.
- 2
3851 is prime because no prime up to ā3851 ā 62.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 534th prime is close to 534 Ć ln(534) ā 3354, and here it is 3851.
- 4
3851 is a twin prime: 3851 and 3853 are both prime.
Primes around the 534th
| Position | Prime | Gap from the previous |
|---|---|---|
| 531 | 3823 | 2 |
| 532 | 3833 | 10 |
| 533 | 3847 | 14 |
| 534 | 3851 | 4 |
| 535 | 3853 | 2 |
| 536 | 3863 | 10 |
| 537 | 3877 | 14 |
Questions
What is the 534th prime number?
3851.
Which prime number is 3851?
3851 is the 534th prime number.
What is the sum of the first 534 primes?
950,861.