What is the 8289th prime number?
The 8289th prime number is 85109. The next prime is 85121 (a gap of 12) and the one before is 85103.
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 8289th one is 85109.
- 2
85109 is prime because no prime up to ā85109 ā 291.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8289th prime is close to 8289 Ć ln(8289) ā 74789, and here it is 85109.
- 4
85109 has no twin: neither 85107 nor 85111 is prime.
Primes around the 8289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8286 | 85091 | 4 |
| 8287 | 85093 | 2 |
| 8288 | 85103 | 10 |
| 8289 | 85109 | 6 |
| 8290 | 85121 | 12 |
| 8291 | 85133 | 12 |
| 8292 | 85147 | 14 |
Questions
What is the 8289th prime number?
85109.
Which prime number is 85109?
85109 is the 8289th prime number.
What is the sum of the first 8289 primes?
333,793,048.