What is the 9341st prime number?
The 9341st prime number is 97039. The next prime is 97073 (a gap of 34) and the one before is 97021.
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 9341st one is 97039.
- 2
97039 is prime because no prime up to ā97039 ā 311.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9341st prime is close to 9341 Ć ln(9341) ā 85397, and here it is 97039.
- 4
97039 has no twin: neither 97037 nor 97041 is prime.
Primes around the 9341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9338 | 97003 | 2 |
| 9339 | 97007 | 4 |
| 9340 | 97021 | 14 |
| 9341 | 97039 | 18 |
| 9342 | 97073 | 34 |
| 9343 | 97081 | 8 |
| 9344 | 97103 | 22 |
Questions
What is the 9341st prime number?
97039.
Which prime number is 97039?
97039 is the 9341st prime number.
What is the sum of the first 9341 primes?
429,656,332.