What is the 9750th prime number?
The 9750th prime number is 101833. The next prime is 101837 (a gap of 4) and the one before is 101807.
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 9750th one is 101833.
- 2
101833 is prime because no prime up to ā101833 ā 319.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9750th prime is close to 9750 Ć ln(9750) ā 89554, and here it is 101833.
- 4
101833 has no twin: neither 101831 nor 101835 is prime.
Primes around the 9750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9747 | 101789 | 18 |
| 9748 | 101797 | 8 |
| 9749 | 101807 | 10 |
| 9750 | 101833 | 26 |
| 9751 | 101837 | 4 |
| 9752 | 101839 | 2 |
| 9753 | 101863 | 24 |
Questions
What is the 9750th prime number?
101833.
Which prime number is 101833?
101833 is the 9750th prime number.
What is the sum of the first 9750 primes?
470,346,023.