What is the 9962nd prime number?
The 9962nd prime number is 104311. The next prime is 104323 (a gap of 12) and the one before is 104309.
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 9962nd one is 104311.
- 2
104311 is prime because no prime up to ā104311 ā 322.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9962nd prime is close to 9962 Ć ln(9962) ā 91715, and here it is 104311.
- 4
104311 is a twin prime: 104309 and 104311 are both prime.
Primes around the 9962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9959 | 104287 | 6 |
| 9960 | 104297 | 10 |
| 9961 | 104309 | 12 |
| 9962 | 104311 | 2 |
| 9963 | 104323 | 12 |
| 9964 | 104327 | 4 |
| 9965 | 104347 | 20 |
Questions
What is the 9962nd prime number?
104311.
Which prime number is 104311?
104311 is the 9962nd prime number.
What is the sum of the first 9962 primes?
492,192,555.