What is the 9864th prime number?
The 9864th prime number is 103099. The next prime is 103123 (a gap of 24) and the one before is 103093.
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 9864th one is 103099.
- 2
103099 is prime because no prime up to ā103099 ā 321.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9864th prime is close to 9864 Ć ln(9864) ā 90716, and here it is 103099.
- 4
103099 has no twin: neither 103097 nor 103101 is prime.
Primes around the 9864th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9861 | 103087 | 8 |
| 9862 | 103091 | 4 |
| 9863 | 103093 | 2 |
| 9864 | 103099 | 6 |
| 9865 | 103123 | 24 |
| 9866 | 103141 | 18 |
| 9867 | 103171 | 30 |
Questions
What is the 9864th prime number?
103099.
Which prime number is 103099?
103099 is the 9864th prime number.
What is the sum of the first 9864 primes?
482,023,929.