What is the 8940th prime number?
The 8940th prime number is 92567. The next prime is 92569 (a gap of 2) and the one before is 92557.
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 8940th one is 92567.
- 2
92567 is prime because no prime up to ā92567 ā 304.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8940th prime is close to 8940 Ć ln(8940) ā 81339, and here it is 92567.
- 4
92567 is a twin prime: 92567 and 92569 are both prime.
Primes around the 8940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8937 | 92507 | 4 |
| 8938 | 92551 | 44 |
| 8939 | 92557 | 6 |
| 8940 | 92567 | 10 |
| 8941 | 92569 | 2 |
| 8942 | 92581 | 12 |
| 8943 | 92593 | 12 |
Questions
What is the 8940th prime number?
92567.
Which prime number is 92567?
92567 is the 8940th prime number.
What is the sum of the first 8940 primes?
391,647,513.