What is the 9771st prime number?
The 9771st prime number is 102031. The next prime is 102043 (a gap of 12) and the one before is 102023.
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 9771st one is 102031.
- 2
102031 is prime because no prime up to ā102031 ā 319.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9771st prime is close to 9771 Ć ln(9771) ā 89768, and here it is 102031.
- 4
102031 has no twin: neither 102029 nor 102033 is prime.
Primes around the 9771st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9768 | 102013 | 12 |
| 9769 | 102019 | 6 |
| 9770 | 102023 | 4 |
| 9771 | 102031 | 8 |
| 9772 | 102043 | 12 |
| 9773 | 102059 | 16 |
| 9774 | 102061 | 2 |
Questions
What is the 9771st prime number?
102031.
Which prime number is 102031?
102031 is the 9771st prime number.
What is the sum of the first 9771 primes?
472,486,750.