What is the 866th prime number?
The 866th prime number is 6709. The next prime is 6719 (a gap of 10) and the one before is 6703.
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 866th one is 6709.
- 2
6709 is prime because no prime up to ā6709 ā 81.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 866th prime is close to 866 Ć ln(866) ā 5858, and here it is 6709.
- 4
6709 has no twin: neither 6707 nor 6711 is prime.
Primes around the 866th
| Position | Prime | Gap from the previous |
|---|---|---|
| 863 | 6691 | 2 |
| 864 | 6701 | 10 |
| 865 | 6703 | 2 |
| 866 | 6709 | 6 |
| 867 | 6719 | 10 |
| 868 | 6733 | 14 |
| 869 | 6737 | 4 |
Questions
What is the 866th prime number?
6709.
Which prime number is 6709?
6709 is the 866th prime number.
What is the sum of the first 866 primes?
2,701,979.