What is the 9785th prime number?
The 9785th prime number is 102181. The next prime is 102191 (a gap of 10) and the one before is 102161.
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 9785th one is 102181.
- 2
102181 is prime because no prime up to ā102181 ā 319.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9785th prime is close to 9785 Ć ln(9785) ā 89911, and here it is 102181.
- 4
102181 has no twin: neither 102179 nor 102183 is prime.
Primes around the 9785th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9782 | 102139 | 18 |
| 9783 | 102149 | 10 |
| 9784 | 102161 | 12 |
| 9785 | 102181 | 20 |
| 9786 | 102191 | 10 |
| 9787 | 102197 | 6 |
| 9788 | 102199 | 2 |
Questions
What is the 9785th prime number?
102181.
Which prime number is 102181?
102181 is the 9785th prime number.
What is the sum of the first 9785 primes?
473,916,202.