What is the 9775th prime number?
The 9775th prime number is 102071. The next prime is 102077 (a gap of 6) and the one before is 102061.
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 9775th one is 102071.
- 2
102071 is prime because no prime up to ā102071 ā 319.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9775th prime is close to 9775 Ć ln(9775) ā 89809, and here it is 102071.
- 4
102071 has no twin: neither 102069 nor 102073 is prime.
Primes around the 9775th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9772 | 102043 | 12 |
| 9773 | 102059 | 16 |
| 9774 | 102061 | 2 |
| 9775 | 102071 | 10 |
| 9776 | 102077 | 6 |
| 9777 | 102079 | 2 |
| 9778 | 102101 | 22 |
Questions
What is the 9775th prime number?
102071.
Which prime number is 102071?
102071 is the 9775th prime number.
What is the sum of the first 9775 primes?
472,894,984.