What is the 8965th prime number?
The 8965th prime number is 92791. The next prime is 92801 (a gap of 10) and the one before is 92789.
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 8965th one is 92791.
- 2
92791 is prime because no prime up to ā92791 ā 304.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8965th prime is close to 8965 Ć ln(8965) ā 81591, and here it is 92791.
- 4
92791 is a twin prime: 92789 and 92791 are both prime.
Primes around the 8965th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8962 | 92767 | 6 |
| 8963 | 92779 | 12 |
| 8964 | 92789 | 10 |
| 8965 | 92791 | 2 |
| 8966 | 92801 | 10 |
| 8967 | 92809 | 8 |
| 8968 | 92821 | 12 |
Questions
What is the 8965th prime number?
92791.
Which prime number is 92791?
92791 is the 8965th prime number.
What is the sum of the first 8965 primes?
393,964,710.