What is the 2278th prime number?
The 2278th prime number is 20143. The next prime is 20147 (a gap of 4) and the one before is 20129.
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 2278th one is 20143.
- 2
20143 is prime because no prime up to ā20143 ā 141.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2278th prime is close to 2278 Ć ln(2278) ā 17611, and here it is 20143.
- 4
20143 has no twin: neither 20141 nor 20145 is prime.
Primes around the 2278th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2275 | 20117 | 4 |
| 2276 | 20123 | 6 |
| 2277 | 20129 | 6 |
| 2278 | 20143 | 14 |
| 2279 | 20147 | 4 |
| 2280 | 20149 | 2 |
| 2281 | 20161 | 12 |
Questions
What is the 2278th prime number?
20143.
Which prime number is 20143?
20143 is the 2278th prime number.
What is the sum of the first 2278 primes?
21,492,429.