What is the 8939th prime number?
The 8939th prime number is 92557. The next prime is 92567 (a gap of 10) and the one before is 92551.
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 8939th one is 92557.
- 2
92557 is prime because no prime up to ā92557 ā 304.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8939th prime is close to 8939 Ć ln(8939) ā 81329, and here it is 92557.
- 4
92557 has no twin: neither 92555 nor 92559 is prime.
Primes around the 8939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8936 | 92503 | 14 |
| 8937 | 92507 | 4 |
| 8938 | 92551 | 44 |
| 8939 | 92557 | 6 |
| 8940 | 92567 | 10 |
| 8941 | 92569 | 2 |
| 8942 | 92581 | 12 |
Questions
What is the 8939th prime number?
92557.
Which prime number is 92557?
92557 is the 8939th prime number.
What is the sum of the first 8939 primes?
391,554,946.