What is the 9885th prime number?
The 9885th prime number is 103421. The next prime is 103423 (a gap of 2) and the one before is 103409.
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 9885th one is 103421.
- 2
103421 is prime because no prime up to ā103421 ā 321.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9885th prime is close to 9885 Ć ln(9885) ā 90930, and here it is 103421.
- 4
103421 is a twin prime: 103421 and 103423 are both prime.
Primes around the 9885th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9882 | 103393 | 2 |
| 9883 | 103399 | 6 |
| 9884 | 103409 | 10 |
| 9885 | 103421 | 12 |
| 9886 | 103423 | 2 |
| 9887 | 103451 | 28 |
| 9888 | 103457 | 6 |
Questions
What is the 9885th prime number?
103421.
Which prime number is 103421?
103421 is the 9885th prime number.
What is the sum of the first 9885 primes?
484,193,054.