What is the 9081st prime number?
The 9081st prime number is 94117. The next prime is 94121 (a gap of 4) and the one before is 94111.
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 9081st one is 94117.
- 2
94117 is prime because no prime up to ā94117 ā 306.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9081st prime is close to 9081 Ć ln(9081) ā 82764, and here it is 94117.
- 4
94117 has no twin: neither 94115 nor 94119 is prime.
Primes around the 9081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9078 | 94099 | 20 |
| 9079 | 94109 | 10 |
| 9080 | 94111 | 2 |
| 9081 | 94117 | 6 |
| 9082 | 94121 | 4 |
| 9083 | 94151 | 30 |
| 9084 | 94153 | 2 |
Questions
What is the 9081st prime number?
94117.
Which prime number is 94117?
94117 is the 9081st prime number.
What is the sum of the first 9081 primes?
404,805,322.