What is the 9499th prime number?
The 9499th prime number is 98939. The next prime is 98947 (a gap of 8) and the one before is 98929.
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 9499th one is 98939.
- 2
98939 is prime because no prime up to ā98939 ā 314.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9499th prime is close to 9499 Ć ln(9499) ā 87001, and here it is 98939.
- 4
98939 has no twin: neither 98937 nor 98941 is prime.
Primes around the 9499th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9496 | 98911 | 2 |
| 9497 | 98927 | 16 |
| 9498 | 98929 | 2 |
| 9499 | 98939 | 10 |
| 9500 | 98947 | 8 |
| 9501 | 98953 | 6 |
| 9502 | 98963 | 10 |
Questions
What is the 9499th prime number?
98939.
Which prime number is 98939?
98939 is the 9499th prime number.
What is the sum of the first 9499 primes?
445,146,078.