What is the 9959th prime number?
The 9959th prime number is 104287. The next prime is 104297 (a gap of 10) and the one before is 104281.
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 9959th one is 104287.
- 2
104287 is prime because no prime up to ā104287 ā 322.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9959th prime is close to 9959 Ć ln(9959) ā 91685, and here it is 104287.
- 4
104287 has no twin: neither 104285 nor 104289 is prime.
Primes around the 9959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9956 | 104239 | 6 |
| 9957 | 104243 | 4 |
| 9958 | 104281 | 38 |
| 9959 | 104287 | 6 |
| 9960 | 104297 | 10 |
| 9961 | 104309 | 12 |
| 9962 | 104311 | 2 |
Questions
What is the 9959th prime number?
104287.
Which prime number is 104287?
104287 is the 9959th prime number.
What is the sum of the first 9959 primes?
491,879,638.