What is the 9422nd prime number?
The 9422nd prime number is 98041. The next prime is 98047 (a gap of 6) and the one before is 98017.
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 9422nd one is 98041.
- 2
98041 is prime because no prime up to ā98041 ā 313.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9422nd prime is close to 9422 Ć ln(9422) ā 86219, and here it is 98041.
- 4
98041 has no twin: neither 98039 nor 98043 is prime.
Primes around the 9422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9419 | 98009 | 22 |
| 9420 | 98011 | 2 |
| 9421 | 98017 | 6 |
| 9422 | 98041 | 24 |
| 9423 | 98047 | 6 |
| 9424 | 98057 | 10 |
| 9425 | 98081 | 24 |
Questions
What is the 9422nd prime number?
98041.
Which prime number is 98041?
98041 is the 9422nd prime number.
What is the sum of the first 9422 primes?
437,559,151.