What is the 3006th prime number?
The 3006th prime number is 27527. The next prime is 27529 (a gap of 2) and the one before is 27509.
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 3006th one is 27527.
- 2
27527 is prime because no prime up to ā27527 ā 165.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3006th prime is close to 3006 Ć ln(3006) ā 24073, and here it is 27527.
- 4
27527 is a twin prime: 27527 and 27529 are both prime.
Primes around the 3006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3003 | 27481 | 2 |
| 3004 | 27487 | 6 |
| 3005 | 27509 | 22 |
| 3006 | 27527 | 18 |
| 3007 | 27529 | 2 |
| 3008 | 27539 | 10 |
| 3009 | 27541 | 2 |
Questions
What is the 3006th prime number?
27527.
Which prime number is 27527?
27527 is the 3006th prime number.
What is the sum of the first 3006 primes?
38,810,151.