What is the 9500th prime number?
The 9500th prime number is 98947. The next prime is 98953 (a gap of 6) and the one before is 98939.
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 9500th one is 98947.
- 2
98947 is prime because no prime up to ā98947 ā 314.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9500th prime is close to 9500 Ć ln(9500) ā 87011, and here it is 98947.
- 4
98947 has no twin: neither 98945 nor 98949 is prime.
Primes around the 9500th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9497 | 98927 | 16 |
| 9498 | 98929 | 2 |
| 9499 | 98939 | 10 |
| 9500 | 98947 | 8 |
| 9501 | 98953 | 6 |
| 9502 | 98963 | 10 |
| 9503 | 98981 | 18 |
Questions
What is the 9500th prime number?
98947.
Which prime number is 98947?
98947 is the 9500th prime number.
What is the sum of the first 9500 primes?
445,245,025.