What is the 9080th prime number?
The 9080th prime number is 94111. The next prime is 94117 (a gap of 6) and the one before is 94109.
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 9080th one is 94111.
- 2
94111 is prime because no prime up to ā94111 ā 306.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9080th prime is close to 9080 Ć ln(9080) ā 82754, and here it is 94111.
- 4
94111 is a twin prime: 94109 and 94111 are both prime.
Primes around the 9080th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9077 | 94079 | 16 |
| 9078 | 94099 | 20 |
| 9079 | 94109 | 10 |
| 9080 | 94111 | 2 |
| 9081 | 94117 | 6 |
| 9082 | 94121 | 4 |
| 9083 | 94151 | 30 |
Questions
What is the 9080th prime number?
94111.
Which prime number is 94111?
94111 is the 9080th prime number.
What is the sum of the first 9080 primes?
404,711,205.