What is the 9398th prime number?
The 9398th prime number is 97787. The next prime is 97789 (a gap of 2) and the one before is 97777.
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 9398th one is 97787.
- 2
97787 is prime because no prime up to ā97787 ā 312.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9398th prime is close to 9398 Ć ln(9398) ā 85975, and here it is 97787.
- 4
97787 is a twin prime: 97787 and 97789 are both prime.
Primes around the 9398th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9395 | 97729 | 18 |
| 9396 | 97771 | 42 |
| 9397 | 97777 | 6 |
| 9398 | 97787 | 10 |
| 9399 | 97789 | 2 |
| 9400 | 97813 | 24 |
| 9401 | 97829 | 16 |
Questions
What is the 9398th prime number?
97787.
Which prime number is 97787?
97787 is the 9398th prime number.
What is the sum of the first 9398 primes?
435,209,301.