What is the 308th prime number?
The 308th prime number is 2029. The next prime is 2039 (a gap of 10) and the one before is 2027.
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 308th one is 2029.
- 2
2029 is prime because no prime up to ā2029 ā 45.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 308th prime is close to 308 Ć ln(308) ā 1765, and here it is 2029.
- 4
2029 is a twin prime: 2027 and 2029 are both prime.
Primes around the 308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 305 | 2011 | 8 |
| 306 | 2017 | 6 |
| 307 | 2027 | 10 |
| 308 | 2029 | 2 |
| 309 | 2039 | 10 |
| 310 | 2053 | 14 |
| 311 | 2063 | 10 |
Questions
What is the 308th prime number?
2029.
Which prime number is 2029?
2029 is the 308th prime number.
What is the sum of the first 308 primes?
287,137.