What is the 9440th prime number?
The 9440th prime number is 98317. The next prime is 98321 (a gap of 4) and the one before is 98299.
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 9440th one is 98317.
- 2
98317 is prime because no prime up to ā98317 ā 313.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9440th prime is close to 9440 Ć ln(9440) ā 86402, and here it is 98317.
- 4
98317 has no twin: neither 98315 nor 98319 is prime.
Primes around the 9440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9437 | 98269 | 12 |
| 9438 | 98297 | 28 |
| 9439 | 98299 | 2 |
| 9440 | 98317 | 18 |
| 9441 | 98321 | 4 |
| 9442 | 98323 | 2 |
| 9443 | 98327 | 4 |
Questions
What is the 9440th prime number?
98317.
Which prime number is 98317?
98317 is the 9440th prime number.
What is the sum of the first 9440 primes?
439,326,569.