What is the 3009th prime number?
The 3009th prime number is 27541. The next prime is 27551 (a gap of 10) and the one before is 27539.
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 3009th one is 27541.
- 2
27541 is prime because no prime up to ā27541 ā 165.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3009th prime is close to 3009 Ć ln(3009) ā 24100, and here it is 27541.
- 4
27541 is a twin prime: 27539 and 27541 are both prime.
Primes around the 3009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3006 | 27527 | 18 |
| 3007 | 27529 | 2 |
| 3008 | 27539 | 10 |
| 3009 | 27541 | 2 |
| 3010 | 27551 | 10 |
| 3011 | 27581 | 30 |
| 3012 | 27583 | 2 |
Questions
What is the 3009th prime number?
27541.
Which prime number is 27541?
27541 is the 3009th prime number.
What is the sum of the first 3009 primes?
38,892,760.