What is the 9963rd prime number?
The 9963rd prime number is 104323. The next prime is 104327 (a gap of 4) and the one before is 104311.
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 9963rd one is 104323.
- 2
104323 is prime because no prime up to ā104323 ā 322.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9963rd prime is close to 9963 Ć ln(9963) ā 91726, and here it is 104323.
- 4
104323 has no twin: neither 104321 nor 104325 is prime.
Primes around the 9963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9960 | 104297 | 10 |
| 9961 | 104309 | 12 |
| 9962 | 104311 | 2 |
| 9963 | 104323 | 12 |
| 9964 | 104327 | 4 |
| 9965 | 104347 | 20 |
| 9966 | 104369 | 22 |
Questions
What is the 9963rd prime number?
104323.
Which prime number is 104323?
104323 is the 9963rd prime number.
What is the sum of the first 9963 primes?
492,296,878.