What is the 9767th prime number?
The 9767th prime number is 102001. The next prime is 102013 (a gap of 12) and the one before is 101999.
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 9767th one is 102001.
- 2
102001 is prime because no prime up to ā102001 ā 319.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9767th prime is close to 9767 Ć ln(9767) ā 89727, and here it is 102001.
- 4
102001 is a twin prime: 101999 and 102001 are both prime.
Primes around the 9767th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9764 | 101977 | 14 |
| 9765 | 101987 | 10 |
| 9766 | 101999 | 12 |
| 9767 | 102001 | 2 |
| 9768 | 102013 | 12 |
| 9769 | 102019 | 6 |
| 9770 | 102023 | 4 |
Questions
What is the 9767th prime number?
102001.
Which prime number is 102001?
102001 is the 9767th prime number.
What is the sum of the first 9767 primes?
472,078,664.