What is the 8969th prime number?
The 8969th prime number is 92831. The next prime is 92849 (a gap of 18) and the one before is 92821.
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 8969th one is 92831.
- 2
92831 is prime because no prime up to ā92831 ā 304.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8969th prime is close to 8969 Ć ln(8969) ā 81632, and here it is 92831.
- 4
92831 has no twin: neither 92829 nor 92833 is prime.
Primes around the 8969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8966 | 92801 | 10 |
| 8967 | 92809 | 8 |
| 8968 | 92821 | 12 |
| 8969 | 92831 | 10 |
| 8970 | 92849 | 18 |
| 8971 | 92857 | 8 |
| 8972 | 92861 | 4 |
Questions
What is the 8969th prime number?
92831.
Which prime number is 92831?
92831 is the 8969th prime number.
What is the sum of the first 8969 primes?
394,335,972.