What is the 307th prime number?
The 307th prime number is 2027. The next prime is 2029 (a gap of 2) and the one before is 2017.
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 307th one is 2027.
- 2
2027 is prime because no prime up to ā2027 ā 45.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 307th prime is close to 307 Ć ln(307) ā 1758, and here it is 2027.
- 4
2027 is a twin prime: 2027 and 2029 are both prime.
Primes around the 307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 304 | 2003 | 4 |
| 305 | 2011 | 8 |
| 306 | 2017 | 6 |
| 307 | 2027 | 10 |
| 308 | 2029 | 2 |
| 309 | 2039 | 10 |
| 310 | 2053 | 14 |
Questions
What is the 307th prime number?
2027.
Which prime number is 2027?
2027 is the 307th prime number.
What is the sum of the first 307 primes?
285,108.