What is the 2011th prime number?
The 2011th prime number is 17483. The next prime is 17489 (a gap of 6) and the one before is 17477.
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 2011th one is 17483.
- 2
17483 is prime because no prime up to ā17483 ā 132.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2011th prime is close to 2011 Ć ln(2011) ā 15296, and here it is 17483.
- 4
17483 has no twin: neither 17481 nor 17485 is prime.
Primes around the 2011th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2008 | 17467 | 18 |
| 2009 | 17471 | 4 |
| 2010 | 17477 | 6 |
| 2011 | 17483 | 6 |
| 2012 | 17489 | 6 |
| 2013 | 17491 | 2 |
| 2014 | 17497 | 6 |
Questions
What is the 2011th prime number?
17483.
Which prime number is 17483?
17483 is the 2011th prime number.
What is the sum of the first 2011 primes?
16,466,478.