What is the 2010th prime number?
The 2010th prime number is 17477. The next prime is 17483 (a gap of 6) and the one before is 17471.
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 2010th one is 17477.
- 2
17477 is prime because no prime up to ā17477 ā 132.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2010th prime is close to 2010 Ć ln(2010) ā 15288, and here it is 17477.
- 4
17477 has no twin: neither 17475 nor 17479 is prime.
Primes around the 2010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2007 | 17449 | 6 |
| 2008 | 17467 | 18 |
| 2009 | 17471 | 4 |
| 2010 | 17477 | 6 |
| 2011 | 17483 | 6 |
| 2012 | 17489 | 6 |
| 2013 | 17491 | 2 |
Questions
What is the 2010th prime number?
17477.
Which prime number is 17477?
17477 is the 2010th prime number.
What is the sum of the first 2010 primes?
16,448,995.