What is the 8920th prime number?
The 8920th prime number is 92363. The next prime is 92369 (a gap of 6) and the one before is 92357.
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 8920th one is 92363.
- 2
92363 is prime because no prime up to ā92363 ā 303.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8920th prime is close to 8920 Ć ln(8920) ā 81137, and here it is 92363.
- 4
92363 has no twin: neither 92361 nor 92365 is prime.
Primes around the 8920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8917 | 92347 | 14 |
| 8918 | 92353 | 6 |
| 8919 | 92357 | 4 |
| 8920 | 92363 | 6 |
| 8921 | 92369 | 6 |
| 8922 | 92377 | 8 |
| 8923 | 92381 | 4 |
Questions
What is the 8920th prime number?
92363.
Which prime number is 92363?
92363 is the 8920th prime number.
What is the sum of the first 8920 primes?
389,798,513.