What is the 3008th prime number?
The 3008th prime number is 27539. The next prime is 27541 (a gap of 2) and the one before is 27529.
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 3008th one is 27539.
- 2
27539 is prime because no prime up to ā27539 ā 165.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3008th prime is close to 3008 Ć ln(3008) ā 24091, and here it is 27539.
- 4
27539 is a twin prime: 27539 and 27541 are both prime.
Primes around the 3008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3005 | 27509 | 22 |
| 3006 | 27527 | 18 |
| 3007 | 27529 | 2 |
| 3008 | 27539 | 10 |
| 3009 | 27541 | 2 |
| 3010 | 27551 | 10 |
| 3011 | 27581 | 30 |
Questions
What is the 3008th prime number?
27539.
Which prime number is 27539?
27539 is the 3008th prime number.
What is the sum of the first 3008 primes?
38,865,219.