What is the 9865th prime number?
The 9865th prime number is 103123. The next prime is 103141 (a gap of 18) and the one before is 103099.
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 9865th one is 103123.
- 2
103123 is prime because no prime up to ā103123 ā 321.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9865th prime is close to 9865 Ć ln(9865) ā 90726, and here it is 103123.
- 4
103123 has no twin: neither 103121 nor 103125 is prime.
Primes around the 9865th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9862 | 103091 | 4 |
| 9863 | 103093 | 2 |
| 9864 | 103099 | 6 |
| 9865 | 103123 | 24 |
| 9866 | 103141 | 18 |
| 9867 | 103171 | 30 |
| 9868 | 103177 | 6 |
Questions
What is the 9865th prime number?
103123.
Which prime number is 103123?
103123 is the 9865th prime number.
What is the sum of the first 9865 primes?
482,127,052.