What is the 2012th prime number?
The 2012th prime number is 17489. The next prime is 17491 (a gap of 2) and the one before is 17483.
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 2012th one is 17489.
- 2
17489 is prime because no prime up to ā17489 ā 132.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2012th prime is close to 2012 Ć ln(2012) ā 15305, and here it is 17489.
- 4
17489 is a twin prime: 17489 and 17491 are both prime.
Primes around the 2012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2009 | 17471 | 4 |
| 2010 | 17477 | 6 |
| 2011 | 17483 | 6 |
| 2012 | 17489 | 6 |
| 2013 | 17491 | 2 |
| 2014 | 17497 | 6 |
| 2015 | 17509 | 12 |
Questions
What is the 2012th prime number?
17489.
Which prime number is 17489?
17489 is the 2012th prime number.
What is the sum of the first 2012 primes?
16,483,967.