What is the 3011th prime number?
The 3011th prime number is 27581. The next prime is 27583 (a gap of 2) and the one before is 27551.
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 3011th one is 27581.
- 2
27581 is prime because no prime up to ā27581 ā 166.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3011th prime is close to 3011 Ć ln(3011) ā 24118, and here it is 27581.
- 4
27581 is a twin prime: 27581 and 27583 are both prime.
Primes around the 3011th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3008 | 27539 | 10 |
| 3009 | 27541 | 2 |
| 3010 | 27551 | 10 |
| 3011 | 27581 | 30 |
| 3012 | 27583 | 2 |
| 3013 | 27611 | 28 |
| 3014 | 27617 | 6 |
Questions
What is the 3011th prime number?
27581.
Which prime number is 27581?
27581 is the 3011th prime number.
What is the sum of the first 3011 primes?
38,947,892.