What is the 871st prime number?
The 871st prime number is 6763. The next prime is 6779 (a gap of 16) and the one before is 6761.
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 871st one is 6763.
- 2
6763 is prime because no prime up to ā6763 ā 82.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 871st prime is close to 871 Ć ln(871) ā 5896, and here it is 6763.
- 4
6763 is a twin prime: 6761 and 6763 are both prime.
Primes around the 871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 868 | 6733 | 14 |
| 869 | 6737 | 4 |
| 870 | 6761 | 24 |
| 871 | 6763 | 2 |
| 872 | 6779 | 16 |
| 873 | 6781 | 2 |
| 874 | 6791 | 10 |
Questions
What is the 871st prime number?
6763.
Which prime number is 6763?
6763 is the 871st prime number.
What is the sum of the first 871 primes?
2,735,692.