What is the 2006th prime number?
The 2006th prime number is 17443. The next prime is 17449 (a gap of 6) and the one before is 17431.
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 2006th one is 17443.
- 2
17443 is prime because no prime up to ā17443 ā 132.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2006th prime is close to 2006 Ć ln(2006) ā 15253, and here it is 17443.
- 4
17443 has no twin: neither 17441 nor 17445 is prime.
Primes around the 2006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2003 | 17417 | 16 |
| 2004 | 17419 | 2 |
| 2005 | 17431 | 12 |
| 2006 | 17443 | 12 |
| 2007 | 17449 | 6 |
| 2008 | 17467 | 18 |
| 2009 | 17471 | 4 |
Questions
What is the 2006th prime number?
17443.
Which prime number is 17443?
17443 is the 2006th prime number.
What is the sum of the first 2006 primes?
16,379,131.