What is the 8874th prime number?
The 8874th prime number is 91837. The next prime is 91841 (a gap of 4) and the one before is 91823.
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 8874th one is 91837.
- 2
91837 is prime because no prime up to ā91837 ā 303.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8874th prime is close to 8874 Ć ln(8874) ā 80672, and here it is 91837.
- 4
91837 has no twin: neither 91835 nor 91839 is prime.
Primes around the 8874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8871 | 91811 | 4 |
| 8872 | 91813 | 2 |
| 8873 | 91823 | 10 |
| 8874 | 91837 | 14 |
| 8875 | 91841 | 4 |
| 8876 | 91867 | 26 |
| 8877 | 91873 | 6 |
Questions
What is the 8874th prime number?
91837.
Which prime number is 91837?
91837 is the 8874th prime number.
What is the sum of the first 8874 primes?
385,560,989.