What is the 836th prime number?
The 836th prime number is 6427. The next prime is 6449 (a gap of 22) and the one before is 6421.
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 836th one is 6427.
- 2
6427 is prime because no prime up to ā6427 ā 80.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 836th prime is close to 836 Ć ln(836) ā 5625, and here it is 6427.
- 4
6427 has no twin: neither 6425 nor 6429 is prime.
Primes around the 836th
| Position | Prime | Gap from the previous |
|---|---|---|
| 833 | 6389 | 10 |
| 834 | 6397 | 8 |
| 835 | 6421 | 24 |
| 836 | 6427 | 6 |
| 837 | 6449 | 22 |
| 838 | 6451 | 2 |
| 839 | 6469 | 18 |
Questions
What is the 836th prime number?
6427.
Which prime number is 6427?
6427 is the 836th prime number.
What is the sum of the first 836 primes?
2,504,323.