What is the 959th prime number?
The 959th prime number is 7559. The next prime is 7561 (a gap of 2) and the one before is 7549.
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 959th one is 7559.
- 2
7559 is prime because no prime up to ā7559 ā 86.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 959th prime is close to 959 Ć ln(959) ā 6584, and here it is 7559.
- 4
7559 is a twin prime: 7559 and 7561 are both prime.
Primes around the 959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 956 | 7541 | 4 |
| 957 | 7547 | 6 |
| 958 | 7549 | 2 |
| 959 | 7559 | 10 |
| 960 | 7561 | 2 |
| 961 | 7573 | 12 |
| 962 | 7577 | 4 |
Questions
What is the 959th prime number?
7559.
Which prime number is 7559?
7559 is the 959th prime number.
What is the sum of the first 959 primes?
3,365,846.