What is the 9770th prime number?
The 9770th prime number is 102023. The next prime is 102031 (a gap of 8) and the one before is 102019.
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 9770th one is 102023.
- 2
102023 is prime because no prime up to ā102023 ā 319.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9770th prime is close to 9770 Ć ln(9770) ā 89758, and here it is 102023.
- 4
102023 has no twin: neither 102021 nor 102025 is prime.
Primes around the 9770th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9767 | 102001 | 2 |
| 9768 | 102013 | 12 |
| 9769 | 102019 | 6 |
| 9770 | 102023 | 4 |
| 9771 | 102031 | 8 |
| 9772 | 102043 | 12 |
| 9773 | 102059 | 16 |
Questions
What is the 9770th prime number?
102023.
Which prime number is 102023?
102023 is the 9770th prime number.
What is the sum of the first 9770 primes?
472,384,719.