What is the 3004th prime number?
The 3004th prime number is 27487. The next prime is 27509 (a gap of 22) and the one before is 27481.
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 3004th one is 27487.
- 2
27487 is prime because no prime up to ā27487 ā 165.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3004th prime is close to 3004 Ć ln(3004) ā 24055, and here it is 27487.
- 4
27487 has no twin: neither 27485 nor 27489 is prime.
Primes around the 3004th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3001 | 27457 | 8 |
| 3002 | 27479 | 22 |
| 3003 | 27481 | 2 |
| 3004 | 27487 | 6 |
| 3005 | 27509 | 22 |
| 3006 | 27527 | 18 |
| 3007 | 27529 | 2 |
Questions
What is the 3004th prime number?
27487.
Which prime number is 27487?
27487 is the 3004th prime number.
What is the sum of the first 3004 primes?
38,755,115.