What is the 9871st prime number?
The 9871st prime number is 103231. The next prime is 103237 (a gap of 6) and the one before is 103217.
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 9871st one is 103231.
- 2
103231 is prime because no prime up to ā103231 ā 321.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9871st prime is close to 9871 Ć ln(9871) ā 90787, and here it is 103231.
- 4
103231 has no twin: neither 103229 nor 103233 is prime.
Primes around the 9871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9868 | 103177 | 6 |
| 9869 | 103183 | 6 |
| 9870 | 103217 | 34 |
| 9871 | 103231 | 14 |
| 9872 | 103237 | 6 |
| 9873 | 103289 | 52 |
| 9874 | 103291 | 2 |
Questions
What is the 9871st prime number?
103231.
Which prime number is 103231?
103231 is the 9871st prime number.
What is the sum of the first 9871 primes?
482,746,172.