What is the 8841st prime number?
The 8841st prime number is 91423. The next prime is 91433 (a gap of 10) and the one before is 91411.
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 8841st one is 91423.
- 2
91423 is prime because no prime up to ā91423 ā 302.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8841st prime is close to 8841 Ć ln(8841) ā 80340, and here it is 91423.
- 4
91423 has no twin: neither 91421 nor 91425 is prime.
Primes around the 8841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8838 | 91393 | 6 |
| 8839 | 91397 | 4 |
| 8840 | 91411 | 14 |
| 8841 | 91423 | 12 |
| 8842 | 91433 | 10 |
| 8843 | 91453 | 20 |
| 8844 | 91457 | 4 |
Questions
What is the 8841st prime number?
91423.
Which prime number is 91423?
91423 is the 8841st prime number.
What is the sum of the first 8841 primes?
382,536,898.