What is the 8290th prime number?
The 8290th prime number is 85121. The next prime is 85133 (a gap of 12) and the one before is 85109.
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 8290th one is 85121.
- 2
85121 is prime because no prime up to ā85121 ā 291.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8290th prime is close to 8290 Ć ln(8290) ā 74799, and here it is 85121.
- 4
85121 has no twin: neither 85119 nor 85123 is prime.
Primes around the 8290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8287 | 85093 | 2 |
| 8288 | 85103 | 10 |
| 8289 | 85109 | 6 |
| 8290 | 85121 | 12 |
| 8291 | 85133 | 12 |
| 8292 | 85147 | 14 |
| 8293 | 85159 | 12 |
Questions
What is the 8290th prime number?
85121.
Which prime number is 85121?
85121 is the 8290th prime number.
What is the sum of the first 8290 primes?
333,878,169.