What is the 9331st prime number?
The 9331st prime number is 96953. The next prime is 96959 (a gap of 6) and the one before is 96931.
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 9331st one is 96953.
- 2
96953 is prime because no prime up to ā96953 ā 311.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9331st prime is close to 9331 Ć ln(9331) ā 85296, and here it is 96953.
- 4
96953 has no twin: neither 96951 nor 96955 is prime.
Primes around the 9331st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9328 | 96907 | 14 |
| 9329 | 96911 | 4 |
| 9330 | 96931 | 20 |
| 9331 | 96953 | 22 |
| 9332 | 96959 | 6 |
| 9333 | 96973 | 14 |
| 9334 | 96979 | 6 |
Questions
What is the 9331st prime number?
96953.
Which prime number is 96953?
96953 is the 9331st prime number.
What is the sum of the first 9331 primes?
428,686,364.