What is the 9968th prime number?
The 9968th prime number is 104383. The next prime is 104393 (a gap of 10) and the one before is 104381.
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 9968th one is 104383.
- 2
104383 is prime because no prime up to ā104383 ā 323.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9968th prime is close to 9968 Ć ln(9968) ā 91777, and here it is 104383.
- 4
104383 is a twin prime: 104381 and 104383 are both prime.
Primes around the 9968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9965 | 104347 | 20 |
| 9966 | 104369 | 22 |
| 9967 | 104381 | 12 |
| 9968 | 104383 | 2 |
| 9969 | 104393 | 10 |
| 9970 | 104399 | 6 |
| 9971 | 104417 | 18 |
Questions
What is the 9968th prime number?
104383.
Which prime number is 104383?
104383 is the 9968th prime number.
What is the sum of the first 9968 primes?
492,818,685.