What is the 9496th prime number?
The 9496th prime number is 98911. The next prime is 98927 (a gap of 16) and the one before is 98909.
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 9496th one is 98911.
- 2
98911 is prime because no prime up to ā98911 ā 314.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9496th prime is close to 9496 Ć ln(9496) ā 86970, and here it is 98911.
- 4
98911 is a twin prime: 98909 and 98911 are both prime.
Primes around the 9496th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9493 | 98897 | 4 |
| 9494 | 98899 | 2 |
| 9495 | 98909 | 10 |
| 9496 | 98911 | 2 |
| 9497 | 98927 | 16 |
| 9498 | 98929 | 2 |
| 9499 | 98939 | 10 |
Questions
What is the 9496th prime number?
98911.
Which prime number is 98911?
98911 is the 9496th prime number.
What is the sum of the first 9496 primes?
444,849,283.