What is the 961st prime number?
The 961st prime number is 7573. The next prime is 7577 (a gap of 4) and the one before is 7561.
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 961st one is 7573.
- 2
7573 is prime because no prime up to ā7573 ā 87.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 961st prime is close to 961 Ć ln(961) ā 6600, and here it is 7573.
- 4
7573 has no twin: neither 7571 nor 7575 is prime.
Primes around the 961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 958 | 7549 | 2 |
| 959 | 7559 | 10 |
| 960 | 7561 | 2 |
| 961 | 7573 | 12 |
| 962 | 7577 | 4 |
| 963 | 7583 | 6 |
| 964 | 7589 | 6 |
Questions
What is the 961st prime number?
7573.
Which prime number is 7573?
7573 is the 961st prime number.
What is the sum of the first 961 primes?
3,380,980.