What is the 2009th prime number?
The 2009th prime number is 17471. The next prime is 17477 (a gap of 6) and the one before is 17467.
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 2009th one is 17471.
- 2
17471 is prime because no prime up to ā17471 ā 132.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2009th prime is close to 2009 Ć ln(2009) ā 15279, and here it is 17471.
- 4
17471 has no twin: neither 17469 nor 17473 is prime.
Primes around the 2009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2006 | 17443 | 12 |
| 2007 | 17449 | 6 |
| 2008 | 17467 | 18 |
| 2009 | 17471 | 4 |
| 2010 | 17477 | 6 |
| 2011 | 17483 | 6 |
| 2012 | 17489 | 6 |
Questions
What is the 2009th prime number?
17471.
Which prime number is 17471?
17471 is the 2009th prime number.
What is the sum of the first 2009 primes?
16,431,518.