What is the 9875th prime number?
The 9875th prime number is 103307. The next prime is 103319 (a gap of 12) and the one before is 103291.
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 9875th one is 103307.
- 2
103307 is prime because no prime up to ā103307 ā 321.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9875th prime is close to 9875 Ć ln(9875) ā 90828, and here it is 103307.
- 4
103307 has no twin: neither 103305 nor 103309 is prime.
Primes around the 9875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9872 | 103237 | 6 |
| 9873 | 103289 | 52 |
| 9874 | 103291 | 2 |
| 9875 | 103307 | 16 |
| 9876 | 103319 | 12 |
| 9877 | 103333 | 14 |
| 9878 | 103349 | 16 |
Questions
What is the 9875th prime number?
103307.
Which prime number is 103307?
103307 is the 9875th prime number.
What is the sum of the first 9875 primes?
483,159,296.