What is the 964th prime number?
The 964th prime number is 7589. The next prime is 7591 (a gap of 2) and the one before is 7583.
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 964th one is 7589.
- 2
7589 is prime because no prime up to ā7589 ā 87.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 964th prime is close to 964 Ć ln(964) ā 6624, and here it is 7589.
- 4
7589 is a twin prime: 7589 and 7591 are both prime.
Primes around the 964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 961 | 7573 | 12 |
| 962 | 7577 | 4 |
| 963 | 7583 | 6 |
| 964 | 7589 | 6 |
| 965 | 7591 | 2 |
| 966 | 7603 | 12 |
| 967 | 7607 | 4 |
Questions
What is the 964th prime number?
7589.
Which prime number is 7589?
7589 is the 964th prime number.
What is the sum of the first 964 primes?
3,403,729.