What is the 9957th prime number?
The 9957th prime number is 104243. The next prime is 104281 (a gap of 38) and the one before is 104239.
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 9957th one is 104243.
- 2
104243 is prime because no prime up to ā104243 ā 322.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9957th prime is close to 9957 Ć ln(9957) ā 91664, and here it is 104243.
- 4
104243 has no twin: neither 104241 nor 104245 is prime.
Primes around the 9957th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9954 | 104231 | 24 |
| 9955 | 104233 | 2 |
| 9956 | 104239 | 6 |
| 9957 | 104243 | 4 |
| 9958 | 104281 | 38 |
| 9959 | 104287 | 6 |
| 9960 | 104297 | 10 |
Questions
What is the 9957th prime number?
104243.
Which prime number is 104243?
104243 is the 9957th prime number.
What is the sum of the first 9957 primes?
491,671,070.