What is the 304th prime number?
The 304th prime number is 2003. The next prime is 2011 (a gap of 8) and the one before is 1999.
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 304th one is 2003.
- 2
2003 is prime because no prime up to ā2003 ā 44.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 304th prime is close to 304 Ć ln(304) ā 1738, and here it is 2003.
- 4
2003 has no twin: neither 2001 nor 2005 is prime.
Primes around the 304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 301 | 1993 | 6 |
| 302 | 1997 | 4 |
| 303 | 1999 | 2 |
| 304 | 2003 | 4 |
| 305 | 2011 | 8 |
| 306 | 2017 | 6 |
| 307 | 2027 | 10 |
Questions
What is the 304th prime number?
2003.
Which prime number is 2003?
2003 is the 304th prime number.
What is the sum of the first 304 primes?
279,053.