What is the 9958th prime number?
The 9958th prime number is 104281. The next prime is 104287 (a gap of 6) and the one before is 104243.
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 9958th one is 104281.
- 2
104281 is prime because no prime up to ā104281 ā 322.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9958th prime is close to 9958 Ć ln(9958) ā 91675, and here it is 104281.
- 4
104281 has no twin: neither 104279 nor 104283 is prime.
Primes around the 9958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9955 | 104233 | 2 |
| 9956 | 104239 | 6 |
| 9957 | 104243 | 4 |
| 9958 | 104281 | 38 |
| 9959 | 104287 | 6 |
| 9960 | 104297 | 10 |
| 9961 | 104309 | 12 |
Questions
What is the 9958th prime number?
104281.
Which prime number is 104281?
104281 is the 9958th prime number.
What is the sum of the first 9958 primes?
491,775,351.