What is the 9340th prime number?
The 9340th prime number is 97021. The next prime is 97039 (a gap of 18) and the one before is 97007.
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 9340th one is 97021.
- 2
97021 is prime because no prime up to ā97021 ā 311.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9340th prime is close to 9340 Ć ln(9340) ā 85387, and here it is 97021.
- 4
97021 has no twin: neither 97019 nor 97023 is prime.
Primes around the 9340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9337 | 97001 | 4 |
| 9338 | 97003 | 2 |
| 9339 | 97007 | 4 |
| 9340 | 97021 | 14 |
| 9341 | 97039 | 18 |
| 9342 | 97073 | 34 |
| 9343 | 97081 | 8 |
Questions
What is the 9340th prime number?
97021.
Which prime number is 97021?
97021 is the 9340th prime number.
What is the sum of the first 9340 primes?
429,559,293.