What is the 9497th prime number?
The 9497th prime number is 98927. The next prime is 98929 (a gap of 2) and the one before is 98911.
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 9497th one is 98927.
- 2
98927 is prime because no prime up to ā98927 ā 314.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9497th prime is close to 9497 Ć ln(9497) ā 86980, and here it is 98927.
- 4
98927 is a twin prime: 98927 and 98929 are both prime.
Primes around the 9497th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9494 | 98899 | 2 |
| 9495 | 98909 | 10 |
| 9496 | 98911 | 2 |
| 9497 | 98927 | 16 |
| 9498 | 98929 | 2 |
| 9499 | 98939 | 10 |
| 9500 | 98947 | 8 |
Questions
What is the 9497th prime number?
98927.
Which prime number is 98927?
98927 is the 9497th prime number.
What is the sum of the first 9497 primes?
444,948,210.