What is the 8966th prime number?
The 8966th prime number is 92801. The next prime is 92809 (a gap of 8) and the one before is 92791.
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 8966th one is 92801.
- 2
92801 is prime because no prime up to ā92801 ā 304.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8966th prime is close to 8966 Ć ln(8966) ā 81601, and here it is 92801.
- 4
92801 has no twin: neither 92799 nor 92803 is prime.
Primes around the 8966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8963 | 92779 | 12 |
| 8964 | 92789 | 10 |
| 8965 | 92791 | 2 |
| 8966 | 92801 | 10 |
| 8967 | 92809 | 8 |
| 8968 | 92821 | 12 |
| 8969 | 92831 | 10 |
Questions
What is the 8966th prime number?
92801.
Which prime number is 92801?
92801 is the 8966th prime number.
What is the sum of the first 8966 primes?
394,057,511.