What is the 9964th prime number?
The 9964th prime number is 104327. The next prime is 104347 (a gap of 20) and the one before is 104323.
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 9964th one is 104327.
- 2
104327 is prime because no prime up to ā104327 ā 323.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9964th prime is close to 9964 Ć ln(9964) ā 91736, and here it is 104327.
- 4
104327 has no twin: neither 104325 nor 104329 is prime.
Primes around the 9964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9961 | 104309 | 12 |
| 9962 | 104311 | 2 |
| 9963 | 104323 | 12 |
| 9964 | 104327 | 4 |
| 9965 | 104347 | 20 |
| 9966 | 104369 | 22 |
| 9967 | 104381 | 12 |
Questions
What is the 9964th prime number?
104327.
Which prime number is 104327?
104327 is the 9964th prime number.
What is the sum of the first 9964 primes?
492,401,205.