What is the 9768th prime number?
The 9768th prime number is 102013. The next prime is 102019 (a gap of 6) and the one before is 102001.
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 9768th one is 102013.
- 2
102013 is prime because no prime up to ā102013 ā 319.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9768th prime is close to 9768 Ć ln(9768) ā 89737, and here it is 102013.
- 4
102013 has no twin: neither 102011 nor 102015 is prime.
Primes around the 9768th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9765 | 101987 | 10 |
| 9766 | 101999 | 12 |
| 9767 | 102001 | 2 |
| 9768 | 102013 | 12 |
| 9769 | 102019 | 6 |
| 9770 | 102023 | 4 |
| 9771 | 102031 | 8 |
Questions
What is the 9768th prime number?
102013.
Which prime number is 102013?
102013 is the 9768th prime number.
What is the sum of the first 9768 primes?
472,180,677.