What is the 9494th prime number?
The 9494th prime number is 98899. The next prime is 98909 (a gap of 10) and the one before is 98897.
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 9494th one is 98899.
- 2
98899 is prime because no prime up to ā98899 ā 314.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9494th prime is close to 9494 Ć ln(9494) ā 86950, and here it is 98899.
- 4
98899 is a twin prime: 98897 and 98899 are both prime.
Primes around the 9494th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9491 | 98887 | 14 |
| 9492 | 98893 | 6 |
| 9493 | 98897 | 4 |
| 9494 | 98899 | 2 |
| 9495 | 98909 | 10 |
| 9496 | 98911 | 2 |
| 9497 | 98927 | 16 |
Questions
What is the 9494th prime number?
98899.
Which prime number is 98899?
98899 is the 9494th prime number.
What is the sum of the first 9494 primes?
444,651,463.