What is the 2008th prime number?
The 2008th prime number is 17467. The next prime is 17471 (a gap of 4) and the one before is 17449.
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 2008th one is 17467.
- 2
17467 is prime because no prime up to ā17467 ā 132.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2008th prime is close to 2008 Ć ln(2008) ā 15271, and here it is 17467.
- 4
17467 has no twin: neither 17465 nor 17469 is prime.
Primes around the 2008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2005 | 17431 | 12 |
| 2006 | 17443 | 12 |
| 2007 | 17449 | 6 |
| 2008 | 17467 | 18 |
| 2009 | 17471 | 4 |
| 2010 | 17477 | 6 |
| 2011 | 17483 | 6 |
Questions
What is the 2008th prime number?
17467.
Which prime number is 17467?
17467 is the 2008th prime number.
What is the sum of the first 2008 primes?
16,414,047.