What is the 303rd prime number?
The 303rd prime number is 1999. The next prime is 2003 (a gap of 4) and the one before is 1997.
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 303rd one is 1999.
- 2
1999 is prime because no prime up to ā1999 ā 44.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 303rd prime is close to 303 Ć ln(303) ā 1731, and here it is 1999.
- 4
1999 is a twin prime: 1997 and 1999 are both prime.
Primes around the 303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 300 | 1987 | 8 |
| 301 | 1993 | 6 |
| 302 | 1997 | 4 |
| 303 | 1999 | 2 |
| 304 | 2003 | 4 |
| 305 | 2011 | 8 |
| 306 | 2017 | 6 |
Questions
What is the 303rd prime number?
1999.
Which prime number is 1999?
1999 is the 303rd prime number.
What is the sum of the first 303 primes?
277,050.