What is the 962nd prime number?
The 962nd prime number is 7577. The next prime is 7583 (a gap of 6) and the one before is 7573.
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 962nd one is 7577.
- 2
7577 is prime because no prime up to ā7577 ā 87.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 962nd prime is close to 962 Ć ln(962) ā 6608, and here it is 7577.
- 4
7577 has no twin: neither 7575 nor 7579 is prime.
Primes around the 962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 959 | 7559 | 10 |
| 960 | 7561 | 2 |
| 961 | 7573 | 12 |
| 962 | 7577 | 4 |
| 963 | 7583 | 6 |
| 964 | 7589 | 6 |
| 965 | 7591 | 2 |
Questions
What is the 962nd prime number?
7577.
Which prime number is 7577?
7577 is the 962nd prime number.
What is the sum of the first 962 primes?
3,388,557.