What is the 9505th prime number?
The 9505th prime number is 98999. The next prime is 99013 (a gap of 14) and the one before is 98993.
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 9505th one is 98999.
- 2
98999 is prime because no prime up to ā98999 ā 314.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9505th prime is close to 9505 Ć ln(9505) ā 87062, and here it is 98999.
- 4
98999 has no twin: neither 98997 nor 99001 is prime.
Primes around the 9505th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9502 | 98963 | 10 |
| 9503 | 98981 | 18 |
| 9504 | 98993 | 12 |
| 9505 | 98999 | 6 |
| 9506 | 99013 | 14 |
| 9507 | 99017 | 4 |
| 9508 | 99023 | 6 |
Questions
What is the 9505th prime number?
98999.
Which prime number is 98999?
98999 is the 9505th prime number.
What is the sum of the first 9505 primes?
445,739,914.