What is the 9876th prime number?
The 9876th prime number is 103319. The next prime is 103333 (a gap of 14) and the one before is 103307.
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 9876th one is 103319.
- 2
103319 is prime because no prime up to ā103319 ā 321.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9876th prime is close to 9876 Ć ln(9876) ā 90838, and here it is 103319.
- 4
103319 has no twin: neither 103317 nor 103321 is prime.
Primes around the 9876th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9873 | 103289 | 52 |
| 9874 | 103291 | 2 |
| 9875 | 103307 | 16 |
| 9876 | 103319 | 12 |
| 9877 | 103333 | 14 |
| 9878 | 103349 | 16 |
| 9879 | 103357 | 8 |
Questions
What is the 9876th prime number?
103319.
Which prime number is 103319?
103319 is the 9876th prime number.
What is the sum of the first 9876 primes?
483,262,615.