What is the 2003rd prime number?
The 2003rd prime number is 17417. The next prime is 17419 (a gap of 2) and the one before is 17401.
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 2003rd one is 17417.
- 2
17417 is prime because no prime up to ā17417 ā 131.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2003rd prime is close to 2003 Ć ln(2003) ā 15228, and here it is 17417.
- 4
17417 is a twin prime: 17417 and 17419 are both prime.
Primes around the 2003rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2000 | 17389 | 2 |
| 2001 | 17393 | 4 |
| 2002 | 17401 | 8 |
| 2003 | 17417 | 16 |
| 2004 | 17419 | 2 |
| 2005 | 17431 | 12 |
| 2006 | 17443 | 12 |
Questions
What is the 2003rd prime number?
17417.
Which prime number is 17417?
17417 is the 2003rd prime number.
What is the sum of the first 2003 primes?
16,326,838.