What is the 8971st prime number?
The 8971st prime number is 92857. The next prime is 92861 (a gap of 4) and the one before is 92849.
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 8971st one is 92857.
- 2
92857 is prime because no prime up to ā92857 ā 304.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8971st prime is close to 8971 Ć ln(8971) ā 81652, and here it is 92857.
- 4
92857 has no twin: neither 92855 nor 92859 is prime.
Primes around the 8971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8968 | 92821 | 12 |
| 8969 | 92831 | 10 |
| 8970 | 92849 | 18 |
| 8971 | 92857 | 8 |
| 8972 | 92861 | 4 |
| 8973 | 92863 | 2 |
| 8974 | 92867 | 4 |
Questions
What is the 8971st prime number?
92857.
Which prime number is 92857?
92857 is the 8971st prime number.
What is the sum of the first 8971 primes?
394,521,678.