What is the 9784th prime number?
The 9784th prime number is 102161. The next prime is 102181 (a gap of 20) and the one before is 102149.
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 9784th one is 102161.
- 2
102161 is prime because no prime up to ā102161 ā 319.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9784th prime is close to 9784 Ć ln(9784) ā 89900, and here it is 102161.
- 4
102161 has no twin: neither 102159 nor 102163 is prime.
Primes around the 9784th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9781 | 102121 | 14 |
| 9782 | 102139 | 18 |
| 9783 | 102149 | 10 |
| 9784 | 102161 | 12 |
| 9785 | 102181 | 20 |
| 9786 | 102191 | 10 |
| 9787 | 102197 | 6 |
Questions
What is the 9784th prime number?
102161.
Which prime number is 102161?
102161 is the 9784th prime number.
What is the sum of the first 9784 primes?
473,814,021.