What is the 8872nd prime number?
The 8872nd prime number is 91813. The next prime is 91823 (a gap of 10) and the one before is 91811.
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 8872nd one is 91813.
- 2
91813 is prime because no prime up to ā91813 ā 303.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8872nd prime is close to 8872 Ć ln(8872) ā 80652, and here it is 91813.
- 4
91813 is a twin prime: 91811 and 91813 are both prime.
Primes around the 8872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8869 | 91801 | 20 |
| 8870 | 91807 | 6 |
| 8871 | 91811 | 4 |
| 8872 | 91813 | 2 |
| 8873 | 91823 | 10 |
| 8874 | 91837 | 14 |
| 8875 | 91841 | 4 |
Questions
What is the 8872nd prime number?
91813.
Which prime number is 91813?
91813 is the 8872nd prime number.
What is the sum of the first 8872 primes?
385,377,329.