What is the 9420th prime number?
The 9420th prime number is 98011. The next prime is 98017 (a gap of 6) and the one before is 98009.
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 9420th one is 98011.
- 2
98011 is prime because no prime up to ā98011 ā 313.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9420th prime is close to 9420 Ć ln(9420) ā 86199, and here it is 98011.
- 4
98011 is a twin prime: 98009 and 98011 are both prime.
Primes around the 9420th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9417 | 97973 | 6 |
| 9418 | 97987 | 14 |
| 9419 | 98009 | 22 |
| 9420 | 98011 | 2 |
| 9421 | 98017 | 6 |
| 9422 | 98041 | 24 |
| 9423 | 98047 | 6 |
Questions
What is the 9420th prime number?
98011.
Which prime number is 98011?
98011 is the 9420th prime number.
What is the sum of the first 9420 primes?
437,363,093.