What is the 8840th prime number?
The 8840th prime number is 91411. The next prime is 91423 (a gap of 12) and the one before is 91397.
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 8840th one is 91411.
- 2
91411 is prime because no prime up to ā91411 ā 302.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8840th prime is close to 8840 Ć ln(8840) ā 80329, and here it is 91411.
- 4
91411 has no twin: neither 91409 nor 91413 is prime.
Primes around the 8840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8837 | 91387 | 6 |
| 8838 | 91393 | 6 |
| 8839 | 91397 | 4 |
| 8840 | 91411 | 14 |
| 8841 | 91423 | 12 |
| 8842 | 91433 | 10 |
| 8843 | 91453 | 20 |
Questions
What is the 8840th prime number?
91411.
Which prime number is 91411?
91411 is the 8840th prime number.
What is the sum of the first 8840 primes?
382,445,475.