What is the 869th prime number?
The 869th prime number is 6737. The next prime is 6761 (a gap of 24) and the one before is 6733.
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 869th one is 6737.
- 2
6737 is prime because no prime up to ā6737 ā 82.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 869th prime is close to 869 Ć ln(869) ā 5881, and here it is 6737.
- 4
6737 has no twin: neither 6735 nor 6739 is prime.
Primes around the 869th
| Position | Prime | Gap from the previous |
|---|---|---|
| 866 | 6709 | 6 |
| 867 | 6719 | 10 |
| 868 | 6733 | 14 |
| 869 | 6737 | 4 |
| 870 | 6761 | 24 |
| 871 | 6763 | 2 |
| 872 | 6779 | 16 |
Questions
What is the 869th prime number?
6737.
Which prime number is 6737?
6737 is the 869th prime number.
What is the sum of the first 869 primes?
2,722,168.