What is the 9858th prime number?
The 9858th prime number is 103067. The next prime is 103069 (a gap of 2) and the one before is 103049.
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 9858th one is 103067.
- 2
103067 is prime because no prime up to ā103067 ā 321.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9858th prime is close to 9858 Ć ln(9858) ā 90655, and here it is 103067.
- 4
103067 is a twin prime: 103067 and 103069 are both prime.
Primes around the 9858th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9855 | 103007 | 6 |
| 9856 | 103043 | 36 |
| 9857 | 103049 | 6 |
| 9858 | 103067 | 18 |
| 9859 | 103069 | 2 |
| 9860 | 103079 | 10 |
| 9861 | 103087 | 8 |
Questions
What is the 9858th prime number?
103067.
Which prime number is 103067?
103067 is the 9858th prime number.
What is the sum of the first 9858 primes?
481,405,411.