What is the 3005th prime number?
The 3005th prime number is 27509. The next prime is 27527 (a gap of 18) and the one before is 27487.
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 3005th one is 27509.
- 2
27509 is prime because no prime up to ā27509 ā 165.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3005th prime is close to 3005 Ć ln(3005) ā 24064, and here it is 27509.
- 4
27509 has no twin: neither 27507 nor 27511 is prime.
Primes around the 3005th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3002 | 27479 | 22 |
| 3003 | 27481 | 2 |
| 3004 | 27487 | 6 |
| 3005 | 27509 | 22 |
| 3006 | 27527 | 18 |
| 3007 | 27529 | 2 |
| 3008 | 27539 | 10 |
Questions
What is the 3005th prime number?
27509.
Which prime number is 27509?
27509 is the 3005th prime number.
What is the sum of the first 3005 primes?
38,782,624.