What is the 9540th prime number?
The 9540th prime number is 99397. The next prime is 99401 (a gap of 4) and the one before is 99391.
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 9540th one is 99397.
- 2
99397 is prime because no prime up to ā99397 ā 315.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9540th prime is close to 9540 Ć ln(9540) ā 87417, and here it is 99397.
- 4
99397 has no twin: neither 99395 nor 99399 is prime.
Primes around the 9540th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9537 | 99371 | 4 |
| 9538 | 99377 | 6 |
| 9539 | 99391 | 14 |
| 9540 | 99397 | 6 |
| 9541 | 99401 | 4 |
| 9542 | 99409 | 8 |
| 9543 | 99431 | 22 |
Questions
What is the 9540th prime number?
99397.
Which prime number is 99397?
99397 is the 9540th prime number.
What is the sum of the first 9540 primes?
449,211,823.