What is the 835th prime number?
The 835th prime number is 6421. The next prime is 6427 (a gap of 6) and the one before is 6397.
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 835th one is 6421.
- 2
6421 is prime because no prime up to ā6421 ā 80.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 835th prime is close to 835 Ć ln(835) ā 5617, and here it is 6421.
- 4
6421 has no twin: neither 6419 nor 6423 is prime.
Primes around the 835th
| Position | Prime | Gap from the previous |
|---|---|---|
| 832 | 6379 | 6 |
| 833 | 6389 | 10 |
| 834 | 6397 | 8 |
| 835 | 6421 | 24 |
| 836 | 6427 | 6 |
| 837 | 6449 | 22 |
| 838 | 6451 | 2 |
Questions
What is the 835th prime number?
6421.
Which prime number is 6421?
6421 is the 835th prime number.
What is the sum of the first 835 primes?
2,497,896.