What is the 960th prime number?
The 960th prime number is 7561. The next prime is 7573 (a gap of 12) and the one before is 7559.
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 960th one is 7561.
- 2
7561 is prime because no prime up to ā7561 ā 86.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 960th prime is close to 960 Ć ln(960) ā 6592, and here it is 7561.
- 4
7561 is a twin prime: 7559 and 7561 are both prime.
Primes around the 960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 957 | 7547 | 6 |
| 958 | 7549 | 2 |
| 959 | 7559 | 10 |
| 960 | 7561 | 2 |
| 961 | 7573 | 12 |
| 962 | 7577 | 4 |
| 963 | 7583 | 6 |
Questions
What is the 960th prime number?
7561.
Which prime number is 7561?
7561 is the 960th prime number.
What is the sum of the first 960 primes?
3,373,407.