What is the 9867th prime number?
The 9867th prime number is 103171. The next prime is 103177 (a gap of 6) and the one before is 103141.
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 9867th one is 103171.
- 2
103171 is prime because no prime up to ā103171 ā 321.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9867th prime is close to 9867 Ć ln(9867) ā 90746, and here it is 103171.
- 4
103171 has no twin: neither 103169 nor 103173 is prime.
Primes around the 9867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9864 | 103099 | 6 |
| 9865 | 103123 | 24 |
| 9866 | 103141 | 18 |
| 9867 | 103171 | 30 |
| 9868 | 103177 | 6 |
| 9869 | 103183 | 6 |
| 9870 | 103217 | 34 |
Questions
What is the 9867th prime number?
103171.
Which prime number is 103171?
103171 is the 9867th prime number.
What is the sum of the first 9867 primes?
482,333,364.