What is the 9749th prime number?
The 9749th prime number is 101807. The next prime is 101833 (a gap of 26) and the one before is 101797.
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 9749th one is 101807.
- 2
101807 is prime because no prime up to ā101807 ā 319.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9749th prime is close to 9749 Ć ln(9749) ā 89544, and here it is 101807.
- 4
101807 has no twin: neither 101805 nor 101809 is prime.
Primes around the 9749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9746 | 101771 | 22 |
| 9747 | 101789 | 18 |
| 9748 | 101797 | 8 |
| 9749 | 101807 | 10 |
| 9750 | 101833 | 26 |
| 9751 | 101837 | 4 |
| 9752 | 101839 | 2 |
Questions
What is the 9749th prime number?
101807.
Which prime number is 101807?
101807 is the 9749th prime number.
What is the sum of the first 9749 primes?
470,244,190.