What is the 9748th prime number?
The 9748th prime number is 101797. The next prime is 101807 (a gap of 10) and the one before is 101789.
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 9748th one is 101797.
- 2
101797 is prime because no prime up to ā101797 ā 319.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9748th prime is close to 9748 Ć ln(9748) ā 89534, and here it is 101797.
- 4
101797 has no twin: neither 101795 nor 101799 is prime.
Primes around the 9748th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9745 | 101749 | 2 |
| 9746 | 101771 | 22 |
| 9747 | 101789 | 18 |
| 9748 | 101797 | 8 |
| 9749 | 101807 | 10 |
| 9750 | 101833 | 26 |
| 9751 | 101837 | 4 |
Questions
What is the 9748th prime number?
101797.
Which prime number is 101797?
101797 is the 9748th prime number.
What is the sum of the first 9748 primes?
470,142,383.