What is the 839th prime number?
The 839th prime number is 6469. The next prime is 6473 (a gap of 4) and the one before is 6451.
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 839th one is 6469.
- 2
6469 is prime because no prime up to ā6469 ā 80.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 839th prime is close to 839 Ć ln(839) ā 5648, and here it is 6469.
- 4
6469 has no twin: neither 6467 nor 6471 is prime.
Primes around the 839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 836 | 6427 | 6 |
| 837 | 6449 | 22 |
| 838 | 6451 | 2 |
| 839 | 6469 | 18 |
| 840 | 6473 | 4 |
| 841 | 6481 | 8 |
| 842 | 6491 | 10 |
Questions
What is the 839th prime number?
6469.
Which prime number is 6469?
6469 is the 839th prime number.
What is the sum of the first 839 primes?
2,523,692.