What is the 9769th prime number?
The 9769th prime number is 102019. The next prime is 102023 (a gap of 4) and the one before is 102013.
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 9769th one is 102019.
- 2
102019 is prime because no prime up to ā102019 ā 319.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9769th prime is close to 9769 Ć ln(9769) ā 89748, and here it is 102019.
- 4
102019 has no twin: neither 102017 nor 102021 is prime.
Primes around the 9769th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9766 | 101999 | 12 |
| 9767 | 102001 | 2 |
| 9768 | 102013 | 12 |
| 9769 | 102019 | 6 |
| 9770 | 102023 | 4 |
| 9771 | 102031 | 8 |
| 9772 | 102043 | 12 |
Questions
What is the 9769th prime number?
102019.
Which prime number is 102019?
102019 is the 9769th prime number.
What is the sum of the first 9769 primes?
472,282,696.