What is the 9498th prime number?
The 9498th prime number is 98929. The next prime is 98939 (a gap of 10) and the one before is 98927.
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 9498th one is 98929.
- 2
98929 is prime because no prime up to ā98929 ā 314.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9498th prime is close to 9498 Ć ln(9498) ā 86991, and here it is 98929.
- 4
98929 is a twin prime: 98927 and 98929 are both prime.
Primes around the 9498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9495 | 98909 | 10 |
| 9496 | 98911 | 2 |
| 9497 | 98927 | 16 |
| 9498 | 98929 | 2 |
| 9499 | 98939 | 10 |
| 9500 | 98947 | 8 |
| 9501 | 98953 | 6 |
Questions
What is the 9498th prime number?
98929.
Which prime number is 98929?
98929 is the 9498th prime number.
What is the sum of the first 9498 primes?
445,047,139.