What is the 8968th prime number?
The 8968th prime number is 92821. The next prime is 92831 (a gap of 10) and the one before is 92809.
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 8968th one is 92821.
- 2
92821 is prime because no prime up to ā92821 ā 304.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8968th prime is close to 8968 Ć ln(8968) ā 81622, and here it is 92821.
- 4
92821 has no twin: neither 92819 nor 92823 is prime.
Primes around the 8968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8965 | 92791 | 2 |
| 8966 | 92801 | 10 |
| 8967 | 92809 | 8 |
| 8968 | 92821 | 12 |
| 8969 | 92831 | 10 |
| 8970 | 92849 | 18 |
| 8971 | 92857 | 8 |
Questions
What is the 8968th prime number?
92821.
Which prime number is 92821?
92821 is the 8968th prime number.
What is the sum of the first 8968 primes?
394,243,141.