What is the 9969th prime number?
The 9969th prime number is 104393. The next prime is 104399 (a gap of 6) and the one before is 104383.
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 9969th one is 104393.
- 2
104393 is prime because no prime up to ā104393 ā 323.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9969th prime is close to 9969 Ć ln(9969) ā 91787, and here it is 104393.
- 4
104393 has no twin: neither 104391 nor 104395 is prime.
Primes around the 9969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9966 | 104369 | 22 |
| 9967 | 104381 | 12 |
| 9968 | 104383 | 2 |
| 9969 | 104393 | 10 |
| 9970 | 104399 | 6 |
| 9971 | 104417 | 18 |
| 9972 | 104459 | 42 |
Questions
What is the 9969th prime number?
104393.
Which prime number is 104393?
104393 is the 9969th prime number.
What is the sum of the first 9969 primes?
492,923,078.