What is the 861st prime number?
The 861st prime number is 6679. The next prime is 6689 (a gap of 10) and the one before is 6673.
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 861st one is 6679.
- 2
6679 is prime because no prime up to ā6679 ā 81.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 861st prime is close to 861 Ć ln(861) ā 5819, and here it is 6679.
- 4
6679 has no twin: neither 6677 nor 6681 is prime.
Primes around the 861st
| Position | Prime | Gap from the previous |
|---|---|---|
| 858 | 6659 | 6 |
| 859 | 6661 | 2 |
| 860 | 6673 | 12 |
| 861 | 6679 | 6 |
| 862 | 6689 | 10 |
| 863 | 6691 | 2 |
| 864 | 6701 | 10 |
Questions
What is the 861st prime number?
6679.
Which prime number is 6679?
6679 is the 861st prime number.
What is the sum of the first 861 primes?
2,668,486.