What is the 9862nd prime number?
The 9862nd prime number is 103091. The next prime is 103093 (a gap of 2) and the one before is 103087.
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 9862nd one is 103091.
- 2
103091 is prime because no prime up to ā103091 ā 321.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9862nd prime is close to 9862 Ć ln(9862) ā 90695, and here it is 103091.
- 4
103091 is a twin prime: 103091 and 103093 are both prime.
Primes around the 9862nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9859 | 103069 | 2 |
| 9860 | 103079 | 10 |
| 9861 | 103087 | 8 |
| 9862 | 103091 | 4 |
| 9863 | 103093 | 2 |
| 9864 | 103099 | 6 |
| 9865 | 103123 | 24 |
Questions
What is the 9862nd prime number?
103091.
Which prime number is 103091?
103091 is the 9862nd prime number.
What is the sum of the first 9862 primes?
481,817,737.