What is the 8938th prime number?
The 8938th prime number is 92551. The next prime is 92557 (a gap of 6) and the one before is 92507.
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 8938th one is 92551.
- 2
92551 is prime because no prime up to ā92551 ā 304.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8938th prime is close to 8938 Ć ln(8938) ā 81319, and here it is 92551.
- 4
92551 has no twin: neither 92549 nor 92553 is prime.
Primes around the 8938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8935 | 92489 | 10 |
| 8936 | 92503 | 14 |
| 8937 | 92507 | 4 |
| 8938 | 92551 | 44 |
| 8939 | 92557 | 6 |
| 8940 | 92567 | 10 |
| 8941 | 92569 | 2 |
Questions
What is the 8938th prime number?
92551.
Which prime number is 92551?
92551 is the 8938th prime number.
What is the sum of the first 8938 primes?
391,462,389.