What is the 837th prime number?
The 837th prime number is 6449. The next prime is 6451 (a gap of 2) and the one before is 6427.
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 837th one is 6449.
- 2
6449 is prime because no prime up to ā6449 ā 80.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 837th prime is close to 837 Ć ln(837) ā 5633, and here it is 6449.
- 4
6449 is a twin prime: 6449 and 6451 are both prime.
Primes around the 837th
| Position | Prime | Gap from the previous |
|---|---|---|
| 834 | 6397 | 8 |
| 835 | 6421 | 24 |
| 836 | 6427 | 6 |
| 837 | 6449 | 22 |
| 838 | 6451 | 2 |
| 839 | 6469 | 18 |
| 840 | 6473 | 4 |
Questions
What is the 837th prime number?
6449.
Which prime number is 6449?
6449 is the 837th prime number.
What is the sum of the first 837 primes?
2,510,772.