What is the 2005th prime number?
The 2005th prime number is 17431. The next prime is 17443 (a gap of 12) and the one before is 17419.
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 2005th one is 17431.
- 2
17431 is prime because no prime up to ā17431 ā 132.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2005th prime is close to 2005 Ć ln(2005) ā 15245, and here it is 17431.
- 4
17431 has no twin: neither 17429 nor 17433 is prime.
Primes around the 2005th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2002 | 17401 | 8 |
| 2003 | 17417 | 16 |
| 2004 | 17419 | 2 |
| 2005 | 17431 | 12 |
| 2006 | 17443 | 12 |
| 2007 | 17449 | 6 |
| 2008 | 17467 | 18 |
Questions
What is the 2005th prime number?
17431.
Which prime number is 17431?
17431 is the 2005th prime number.
What is the sum of the first 2005 primes?
16,361,688.