What is the 8871st prime number?
The 8871st prime number is 91811. The next prime is 91813 (a gap of 2) and the one before is 91807.
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 8871st one is 91811.
- 2
91811 is prime because no prime up to ā91811 ā 303.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8871st prime is close to 8871 Ć ln(8871) ā 80642, and here it is 91811.
- 4
91811 is a twin prime: 91811 and 91813 are both prime.
Primes around the 8871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8868 | 91781 | 10 |
| 8869 | 91801 | 20 |
| 8870 | 91807 | 6 |
| 8871 | 91811 | 4 |
| 8872 | 91813 | 2 |
| 8873 | 91823 | 10 |
| 8874 | 91837 | 14 |
Questions
What is the 8871st prime number?
91811.
Which prime number is 91811?
91811 is the 8871st prime number.
What is the sum of the first 8871 primes?
385,285,516.