What is the 3007th prime number?
The 3007th prime number is 27529. The next prime is 27539 (a gap of 10) and the one before is 27527.
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 3007th one is 27529.
- 2
27529 is prime because no prime up to ā27529 ā 165.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3007th prime is close to 3007 Ć ln(3007) ā 24082, and here it is 27529.
- 4
27529 is a twin prime: 27527 and 27529 are both prime.
Primes around the 3007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3004 | 27487 | 6 |
| 3005 | 27509 | 22 |
| 3006 | 27527 | 18 |
| 3007 | 27529 | 2 |
| 3008 | 27539 | 10 |
| 3009 | 27541 | 2 |
| 3010 | 27551 | 10 |
Questions
What is the 3007th prime number?
27529.
Which prime number is 27529?
27529 is the 3007th prime number.
What is the sum of the first 3007 primes?
38,837,680.