What is the 9863rd prime number?
The 9863rd prime number is 103093. The next prime is 103099 (a gap of 6) and the one before is 103091.
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 9863rd one is 103093.
- 2
103093 is prime because no prime up to ā103093 ā 321.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9863rd prime is close to 9863 Ć ln(9863) ā 90706, and here it is 103093.
- 4
103093 is a twin prime: 103091 and 103093 are both prime.
Primes around the 9863rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9860 | 103079 | 10 |
| 9861 | 103087 | 8 |
| 9862 | 103091 | 4 |
| 9863 | 103093 | 2 |
| 9864 | 103099 | 6 |
| 9865 | 103123 | 24 |
| 9866 | 103141 | 18 |
Questions
What is the 9863rd prime number?
103093.
Which prime number is 103093?
103093 is the 9863rd prime number.
What is the sum of the first 9863 primes?
481,920,830.