What is the 9421st prime number?
The 9421st prime number is 98017. The next prime is 98041 (a gap of 24) and the one before is 98011.
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 9421st one is 98017.
- 2
98017 is prime because no prime up to ā98017 ā 313.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9421st prime is close to 9421 Ć ln(9421) ā 86209, and here it is 98017.
- 4
98017 has no twin: neither 98015 nor 98019 is prime.
Primes around the 9421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9418 | 97987 | 14 |
| 9419 | 98009 | 22 |
| 9420 | 98011 | 2 |
| 9421 | 98017 | 6 |
| 9422 | 98041 | 24 |
| 9423 | 98047 | 6 |
| 9424 | 98057 | 10 |
Questions
What is the 9421st prime number?
98017.
Which prime number is 98017?
98017 is the 9421st prime number.
What is the sum of the first 9421 primes?
437,461,110.