What is the 9424th prime number?
The 9424th prime number is 98057. The next prime is 98081 (a gap of 24) and the one before is 98047.
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 9424th one is 98057.
- 2
98057 is prime because no prime up to ā98057 ā 313.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9424th prime is close to 9424 Ć ln(9424) ā 86239, and here it is 98057.
- 4
98057 has no twin: neither 98055 nor 98059 is prime.
Primes around the 9424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9421 | 98017 | 6 |
| 9422 | 98041 | 24 |
| 9423 | 98047 | 6 |
| 9424 | 98057 | 10 |
| 9425 | 98081 | 24 |
| 9426 | 98101 | 20 |
| 9427 | 98123 | 22 |
Questions
What is the 9424th prime number?
98057.
Which prime number is 98057?
98057 is the 9424th prime number.
What is the sum of the first 9424 primes?
437,755,255.