What is the 9880th prime number?
The 9880th prime number is 103387. The next prime is 103391 (a gap of 4) and the one before is 103357.
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 9880th one is 103387.
- 2
103387 is prime because no prime up to ā103387 ā 321.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9880th prime is close to 9880 Ć ln(9880) ā 90879, and here it is 103387.
- 4
103387 has no twin: neither 103385 nor 103389 is prime.
Primes around the 9880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9877 | 103333 | 14 |
| 9878 | 103349 | 16 |
| 9879 | 103357 | 8 |
| 9880 | 103387 | 30 |
| 9881 | 103391 | 4 |
| 9882 | 103393 | 2 |
| 9883 | 103399 | 6 |
Questions
What is the 9880th prime number?
103387.
Which prime number is 103387?
103387 is the 9880th prime number.
What is the sum of the first 9880 primes?
483,676,041.