What is the 2279th prime number?
The 2279th prime number is 20147. The next prime is 20149 (a gap of 2) and the one before is 20143.
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 2279th one is 20147.
- 2
20147 is prime because no prime up to ā20147 ā 141.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2279th prime is close to 2279 Ć ln(2279) ā 17620, and here it is 20147.
- 4
20147 is a twin prime: 20147 and 20149 are both prime.
Primes around the 2279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2276 | 20123 | 6 |
| 2277 | 20129 | 6 |
| 2278 | 20143 | 14 |
| 2279 | 20147 | 4 |
| 2280 | 20149 | 2 |
| 2281 | 20161 | 12 |
| 2282 | 20173 | 12 |
Questions
What is the 2279th prime number?
20147.
Which prime number is 20147?
20147 is the 2279th prime number.
What is the sum of the first 2279 primes?
21,512,576.