What is the 8921st prime number?
The 8921st prime number is 92369. The next prime is 92377 (a gap of 8) and the one before is 92363.
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 8921st one is 92369.
- 2
92369 is prime because no prime up to ā92369 ā 303.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8921st prime is close to 8921 Ć ln(8921) ā 81147, and here it is 92369.
- 4
92369 has no twin: neither 92367 nor 92371 is prime.
Primes around the 8921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8918 | 92353 | 6 |
| 8919 | 92357 | 4 |
| 8920 | 92363 | 6 |
| 8921 | 92369 | 6 |
| 8922 | 92377 | 8 |
| 8923 | 92381 | 4 |
| 8924 | 92383 | 2 |
Questions
What is the 8921st prime number?
92369.
Which prime number is 92369?
92369 is the 8921st prime number.
What is the sum of the first 8921 primes?
389,890,882.