What is the 9879th prime number?
The 9879th prime number is 103357. The next prime is 103387 (a gap of 30) and the one before is 103349.
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 9879th one is 103357.
- 2
103357 is prime because no prime up to ā103357 ā 321.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9879th prime is close to 9879 Ć ln(9879) ā 90869, and here it is 103357.
- 4
103357 has no twin: neither 103355 nor 103359 is prime.
Primes around the 9879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9876 | 103319 | 12 |
| 9877 | 103333 | 14 |
| 9878 | 103349 | 16 |
| 9879 | 103357 | 8 |
| 9880 | 103387 | 30 |
| 9881 | 103391 | 4 |
| 9882 | 103393 | 2 |
Questions
What is the 9879th prime number?
103357.
Which prime number is 103357?
103357 is the 9879th prime number.
What is the sum of the first 9879 primes?
483,572,654.