What is the 870th prime number?
The 870th prime number is 6761. The next prime is 6763 (a gap of 2) and the one before is 6737.
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 870th one is 6761.
- 2
6761 is prime because no prime up to ā6761 ā 82.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 870th prime is close to 870 Ć ln(870) ā 5889, and here it is 6761.
- 4
6761 is a twin prime: 6761 and 6763 are both prime.
Primes around the 870th
| Position | Prime | Gap from the previous |
|---|---|---|
| 867 | 6719 | 10 |
| 868 | 6733 | 14 |
| 869 | 6737 | 4 |
| 870 | 6761 | 24 |
| 871 | 6763 | 2 |
| 872 | 6779 | 16 |
| 873 | 6781 | 2 |
Questions
What is the 870th prime number?
6761.
Which prime number is 6761?
6761 is the 870th prime number.
What is the sum of the first 870 primes?
2,728,929.