What is the 8964th prime number?
The 8964th prime number is 92789. The next prime is 92791 (a gap of 2) and the one before is 92779.
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 8964th one is 92789.
- 2
92789 is prime because no prime up to ā92789 ā 304.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8964th prime is close to 8964 Ć ln(8964) ā 81581, and here it is 92789.
- 4
92789 is a twin prime: 92789 and 92791 are both prime.
Primes around the 8964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8961 | 92761 | 8 |
| 8962 | 92767 | 6 |
| 8963 | 92779 | 12 |
| 8964 | 92789 | 10 |
| 8965 | 92791 | 2 |
| 8966 | 92801 | 10 |
| 8967 | 92809 | 8 |
Questions
What is the 8964th prime number?
92789.
Which prime number is 92789?
92789 is the 8964th prime number.
What is the sum of the first 8964 primes?
393,871,919.