What is the 863rd prime number?
The 863rd prime number is 6691. The next prime is 6701 (a gap of 10) and the one before is 6689.
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 863rd one is 6691.
- 2
6691 is prime because no prime up to ā6691 ā 81.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 863rd prime is close to 863 Ć ln(863) ā 5834, and here it is 6691.
- 4
6691 is a twin prime: 6689 and 6691 are both prime.
Primes around the 863rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 860 | 6673 | 12 |
| 861 | 6679 | 6 |
| 862 | 6689 | 10 |
| 863 | 6691 | 2 |
| 864 | 6701 | 10 |
| 865 | 6703 | 2 |
| 866 | 6709 | 6 |
Questions
What is the 863rd prime number?
6691.
Which prime number is 6691?
6691 is the 863rd prime number.
What is the sum of the first 863 primes?
2,681,866.