What is the 9759th prime number?
The 9759th prime number is 101921. The next prime is 101929 (a gap of 8) and the one before is 101917.
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 9759th one is 101921.
- 2
101921 is prime because no prime up to ā101921 ā 319.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9759th prime is close to 9759 Ć ln(9759) ā 89646, and here it is 101921.
- 4
101921 has no twin: neither 101919 nor 101923 is prime.
Primes around the 9759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9756 | 101879 | 6 |
| 9757 | 101891 | 12 |
| 9758 | 101917 | 26 |
| 9759 | 101921 | 4 |
| 9760 | 101929 | 8 |
| 9761 | 101939 | 10 |
| 9762 | 101957 | 18 |
Questions
What is the 9759th prime number?
101921.
Which prime number is 101921?
101921 is the 9759th prime number.
What is the sum of the first 9759 primes?
471,262,912.