What is the 9755th prime number?
The 9755th prime number is 101873. The next prime is 101879 (a gap of 6) and the one before is 101869.
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 9755th one is 101873.
- 2
101873 is prime because no prime up to ā101873 ā 319.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9755th prime is close to 9755 Ć ln(9755) ā 89605, and here it is 101873.
- 4
101873 has no twin: neither 101871 nor 101875 is prime.
Primes around the 9755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9752 | 101839 | 2 |
| 9753 | 101863 | 24 |
| 9754 | 101869 | 6 |
| 9755 | 101873 | 4 |
| 9756 | 101879 | 6 |
| 9757 | 101891 | 12 |
| 9758 | 101917 | 26 |
Questions
What is the 9755th prime number?
101873.
Which prime number is 101873?
101873 is the 9755th prime number.
What is the sum of the first 9755 primes?
470,855,304.