What is the 2004th prime number?
The 2004th prime number is 17419. The next prime is 17431 (a gap of 12) and the one before is 17417.
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 2004th one is 17419.
- 2
17419 is prime because no prime up to ā17419 ā 131.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2004th prime is close to 2004 Ć ln(2004) ā 15236, and here it is 17419.
- 4
17419 is a twin prime: 17417 and 17419 are both prime.
Primes around the 2004th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2001 | 17393 | 4 |
| 2002 | 17401 | 8 |
| 2003 | 17417 | 16 |
| 2004 | 17419 | 2 |
| 2005 | 17431 | 12 |
| 2006 | 17443 | 12 |
| 2007 | 17449 | 6 |
Questions
What is the 2004th prime number?
17419.
Which prime number is 17419?
17419 is the 2004th prime number.
What is the sum of the first 2004 primes?
16,344,257.