What is the 9882nd prime number?
The 9882nd prime number is 103393. The next prime is 103399 (a gap of 6) and the one before is 103391.
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 9882nd one is 103393.
- 2
103393 is prime because no prime up to ā103393 ā 321.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9882nd prime is close to 9882 Ć ln(9882) ā 90899, and here it is 103393.
- 4
103393 is a twin prime: 103391 and 103393 are both prime.
Primes around the 9882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9879 | 103357 | 8 |
| 9880 | 103387 | 30 |
| 9881 | 103391 | 4 |
| 9882 | 103393 | 2 |
| 9883 | 103399 | 6 |
| 9884 | 103409 | 10 |
| 9885 | 103421 | 12 |
Questions
What is the 9882nd prime number?
103393.
Which prime number is 103393?
103393 is the 9882nd prime number.
What is the sum of the first 9882 primes?
483,882,825.