What is the 8842nd prime number?
The 8842nd prime number is 91433. The next prime is 91453 (a gap of 20) and the one before is 91423.
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 8842nd one is 91433.
- 2
91433 is prime because no prime up to ā91433 ā 302.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8842nd prime is close to 8842 Ć ln(8842) ā 80350, and here it is 91433.
- 4
91433 has no twin: neither 91431 nor 91435 is prime.
Primes around the 8842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8839 | 91397 | 4 |
| 8840 | 91411 | 14 |
| 8841 | 91423 | 12 |
| 8842 | 91433 | 10 |
| 8843 | 91453 | 20 |
| 8844 | 91457 | 4 |
| 8845 | 91459 | 2 |
Questions
What is the 8842nd prime number?
91433.
Which prime number is 91433?
91433 is the 8842nd prime number.
What is the sum of the first 8842 primes?
382,628,331.