What is the 208th prime number?
The 208th prime number is 1283. The next prime is 1289 (a gap of 6) and the one before is 1279.
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 208th one is 1283.
- 2
1283 is prime because no prime up to ā1283 ā 35.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 208th prime is close to 208 Ć ln(208) ā 1110, and here it is 1283.
- 4
1283 has no twin: neither 1281 nor 1285 is prime.
Primes around the 208th
| Position | Prime | Gap from the previous |
|---|---|---|
| 205 | 1259 | 10 |
| 206 | 1277 | 18 |
| 207 | 1279 | 2 |
| 208 | 1283 | 4 |
| 209 | 1289 | 6 |
| 210 | 1291 | 2 |
| 211 | 1297 | 6 |
Questions
What is the 208th prime number?
1283.
Which prime number is 1283?
1283 is the 208th prime number.
What is the sum of the first 208 primes?
121,631.