What is the 9419th prime number?
The 9419th prime number is 98009. The next prime is 98011 (a gap of 2) and the one before is 97987.
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 9419th one is 98009.
- 2
98009 is prime because no prime up to ā98009 ā 313.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9419th prime is close to 9419 Ć ln(9419) ā 86188, and here it is 98009.
- 4
98009 is a twin prime: 98009 and 98011 are both prime.
Primes around the 9419th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9416 | 97967 | 6 |
| 9417 | 97973 | 6 |
| 9418 | 97987 | 14 |
| 9419 | 98009 | 22 |
| 9420 | 98011 | 2 |
| 9421 | 98017 | 6 |
| 9422 | 98041 | 24 |
Questions
What is the 9419th prime number?
98009.
Which prime number is 98009?
98009 is the 9419th prime number.
What is the sum of the first 9419 primes?
437,265,082.