What is the 9960th prime number?
The 9960th prime number is 104297. The next prime is 104309 (a gap of 12) and the one before is 104287.
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 9960th one is 104297.
- 2
104297 is prime because no prime up to ā104297 ā 322.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9960th prime is close to 9960 Ć ln(9960) ā 91695, and here it is 104297.
- 4
104297 has no twin: neither 104295 nor 104299 is prime.
Primes around the 9960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9957 | 104243 | 4 |
| 9958 | 104281 | 38 |
| 9959 | 104287 | 6 |
| 9960 | 104297 | 10 |
| 9961 | 104309 | 12 |
| 9962 | 104311 | 2 |
| 9963 | 104323 | 12 |
Questions
What is the 9960th prime number?
104297.
Which prime number is 104297?
104297 is the 9960th prime number.
What is the sum of the first 9960 primes?
491,983,935.