What is the 8880th prime number?
The 8880th prime number is 91939. The next prime is 91943 (a gap of 4) and the one before is 91921.
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 8880th one is 91939.
- 2
91939 is prime because no prime up to ā91939 ā 303.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8880th prime is close to 8880 Ć ln(8880) ā 80733, and here it is 91939.
- 4
91939 has no twin: neither 91937 nor 91941 is prime.
Primes around the 8880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8877 | 91873 | 6 |
| 8878 | 91909 | 36 |
| 8879 | 91921 | 12 |
| 8880 | 91939 | 18 |
| 8881 | 91943 | 4 |
| 8882 | 91951 | 8 |
| 8883 | 91957 | 6 |
Questions
What is the 8880th prime number?
91939.
Which prime number is 91939?
91939 is the 8880th prime number.
What is the sum of the first 8880 primes?
386,112,339.