What is the 9776th prime number?
The 9776th prime number is 102077. The next prime is 102079 (a gap of 2) and the one before is 102071.
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 9776th one is 102077.
- 2
102077 is prime because no prime up to ā102077 ā 319.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9776th prime is close to 9776 Ć ln(9776) ā 89819, and here it is 102077.
- 4
102077 is a twin prime: 102077 and 102079 are both prime.
Primes around the 9776th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9773 | 102059 | 16 |
| 9774 | 102061 | 2 |
| 9775 | 102071 | 10 |
| 9776 | 102077 | 6 |
| 9777 | 102079 | 2 |
| 9778 | 102101 | 22 |
| 9779 | 102103 | 2 |
Questions
What is the 9776th prime number?
102077.
Which prime number is 102077?
102077 is the 9776th prime number.
What is the sum of the first 9776 primes?
472,997,061.