What is the 2007th prime number?
The 2007th prime number is 17449. The next prime is 17467 (a gap of 18) and the one before is 17443.
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 2007th one is 17449.
- 2
17449 is prime because no prime up to ā17449 ā 132.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2007th prime is close to 2007 Ć ln(2007) ā 15262, and here it is 17449.
- 4
17449 has no twin: neither 17447 nor 17451 is prime.
Primes around the 2007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2004 | 17419 | 2 |
| 2005 | 17431 | 12 |
| 2006 | 17443 | 12 |
| 2007 | 17449 | 6 |
| 2008 | 17467 | 18 |
| 2009 | 17471 | 4 |
| 2010 | 17477 | 6 |
Questions
What is the 2007th prime number?
17449.
Which prime number is 17449?
17449 is the 2007th prime number.
What is the sum of the first 2007 primes?
16,396,580.