What is the 9967th prime number?
The 9967th prime number is 104381. The next prime is 104383 (a gap of 2) and the one before is 104369.
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 9967th one is 104381.
- 2
104381 is prime because no prime up to ā104381 ā 323.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9967th prime is close to 9967 Ć ln(9967) ā 91767, and here it is 104381.
- 4
104381 is a twin prime: 104381 and 104383 are both prime.
Primes around the 9967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9964 | 104327 | 4 |
| 9965 | 104347 | 20 |
| 9966 | 104369 | 22 |
| 9967 | 104381 | 12 |
| 9968 | 104383 | 2 |
| 9969 | 104393 | 10 |
| 9970 | 104399 | 6 |
Questions
What is the 9967th prime number?
104381.
Which prime number is 104381?
104381 is the 9967th prime number.
What is the sum of the first 9967 primes?
492,714,302.