What is the 862nd prime number?
The 862nd prime number is 6689. The next prime is 6691 (a gap of 2) and the one before is 6679.
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 862nd one is 6689.
- 2
6689 is prime because no prime up to ā6689 ā 81.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 862nd prime is close to 862 Ć ln(862) ā 5826, and here it is 6689.
- 4
6689 is a twin prime: 6689 and 6691 are both prime.
Primes around the 862nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 859 | 6661 | 2 |
| 860 | 6673 | 12 |
| 861 | 6679 | 6 |
| 862 | 6689 | 10 |
| 863 | 6691 | 2 |
| 864 | 6701 | 10 |
| 865 | 6703 | 2 |
Questions
What is the 862nd prime number?
6689.
Which prime number is 6689?
6689 is the 862nd prime number.
What is the sum of the first 862 primes?
2,675,175.