What is the 9492nd prime number?
The 9492nd prime number is 98893. The next prime is 98897 (a gap of 4) and the one before is 98887.
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 9492nd one is 98893.
- 2
98893 is prime because no prime up to ā98893 ā 314.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9492nd prime is close to 9492 Ć ln(9492) ā 86930, and here it is 98893.
- 4
98893 has no twin: neither 98891 nor 98895 is prime.
Primes around the 9492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9489 | 98869 | 2 |
| 9490 | 98873 | 4 |
| 9491 | 98887 | 14 |
| 9492 | 98893 | 6 |
| 9493 | 98897 | 4 |
| 9494 | 98899 | 2 |
| 9495 | 98909 | 10 |
Questions
What is the 9492nd prime number?
98893.
Which prime number is 98893?
98893 is the 9492nd prime number.
What is the sum of the first 9492 primes?
444,453,667.