What is the 9965th prime number?
The 9965th prime number is 104347. The next prime is 104369 (a gap of 22) and the one before is 104327.
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 9965th one is 104347.
- 2
104347 is prime because no prime up to ā104347 ā 323.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9965th prime is close to 9965 Ć ln(9965) ā 91746, and here it is 104347.
- 4
104347 has no twin: neither 104345 nor 104349 is prime.
Primes around the 9965th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9962 | 104311 | 2 |
| 9963 | 104323 | 12 |
| 9964 | 104327 | 4 |
| 9965 | 104347 | 20 |
| 9966 | 104369 | 22 |
| 9967 | 104381 | 12 |
| 9968 | 104383 | 2 |
Questions
What is the 9965th prime number?
104347.
Which prime number is 104347?
104347 is the 9965th prime number.
What is the sum of the first 9965 primes?
492,505,552.