What is the 9079th prime number?
The 9079th prime number is 94109. The next prime is 94111 (a gap of 2) and the one before is 94099.
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 9079th one is 94109.
- 2
94109 is prime because no prime up to ā94109 ā 306.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9079th prime is close to 9079 Ć ln(9079) ā 82743, and here it is 94109.
- 4
94109 is a twin prime: 94109 and 94111 are both prime.
Primes around the 9079th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9076 | 94063 | 6 |
| 9077 | 94079 | 16 |
| 9078 | 94099 | 20 |
| 9079 | 94109 | 10 |
| 9080 | 94111 | 2 |
| 9081 | 94117 | 6 |
| 9082 | 94121 | 4 |
Questions
What is the 9079th prime number?
94109.
Which prime number is 94109?
94109 is the 9079th prime number.
What is the sum of the first 9079 primes?
404,617,094.