What is the 9752nd prime number?
The 9752nd prime number is 101839. The next prime is 101863 (a gap of 24) and the one before is 101837.
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 9752nd one is 101839.
- 2
101839 is prime because no prime up to ā101839 ā 319.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9752nd prime is close to 9752 Ć ln(9752) ā 89574, and here it is 101839.
- 4
101839 is a twin prime: 101837 and 101839 are both prime.
Primes around the 9752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9749 | 101807 | 10 |
| 9750 | 101833 | 26 |
| 9751 | 101837 | 4 |
| 9752 | 101839 | 2 |
| 9753 | 101863 | 24 |
| 9754 | 101869 | 6 |
| 9755 | 101873 | 4 |
Questions
What is the 9752nd prime number?
101839.
Which prime number is 101839?
101839 is the 9752nd prime number.
What is the sum of the first 9752 primes?
470,549,699.