What is the 9878th prime number?
The 9878th prime number is 103349. The next prime is 103357 (a gap of 8) and the one before is 103333.
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 9878th one is 103349.
- 2
103349 is prime because no prime up to ā103349 ā 321.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9878th prime is close to 9878 Ć ln(9878) ā 90858, and here it is 103349.
- 4
103349 has no twin: neither 103347 nor 103351 is prime.
Primes around the 9878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9875 | 103307 | 16 |
| 9876 | 103319 | 12 |
| 9877 | 103333 | 14 |
| 9878 | 103349 | 16 |
| 9879 | 103357 | 8 |
| 9880 | 103387 | 30 |
| 9881 | 103391 | 4 |
Questions
What is the 9878th prime number?
103349.
Which prime number is 103349?
103349 is the 9878th prime number.
What is the sum of the first 9878 primes?
483,469,297.