What is the 9766th prime number?
The 9766th prime number is 101999. The next prime is 102001 (a gap of 2) and the one before is 101987.
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 9766th one is 101999.
- 2
101999 is prime because no prime up to ā101999 ā 319.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9766th prime is close to 9766 Ć ln(9766) ā 89717, and here it is 101999.
- 4
101999 is a twin prime: 101999 and 102001 are both prime.
Primes around the 9766th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9763 | 101963 | 6 |
| 9764 | 101977 | 14 |
| 9765 | 101987 | 10 |
| 9766 | 101999 | 12 |
| 9767 | 102001 | 2 |
| 9768 | 102013 | 12 |
| 9769 | 102019 | 6 |
Questions
What is the 9766th prime number?
101999.
Which prime number is 101999?
101999 is the 9766th prime number.
What is the sum of the first 9766 primes?
471,976,663.