What is the 8967th prime number?
The 8967th prime number is 92809. The next prime is 92821 (a gap of 12) and the one before is 92801.
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 8967th one is 92809.
- 2
92809 is prime because no prime up to ā92809 ā 304.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8967th prime is close to 8967 Ć ln(8967) ā 81611, and here it is 92809.
- 4
92809 has no twin: neither 92807 nor 92811 is prime.
Primes around the 8967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8964 | 92789 | 10 |
| 8965 | 92791 | 2 |
| 8966 | 92801 | 10 |
| 8967 | 92809 | 8 |
| 8968 | 92821 | 12 |
| 8969 | 92831 | 10 |
| 8970 | 92849 | 18 |
Questions
What is the 8967th prime number?
92809.
Which prime number is 92809?
92809 is the 8967th prime number.
What is the sum of the first 8967 primes?
394,150,320.