What is the 207th prime number?
The 207th prime number is 1279. The next prime is 1283 (a gap of 4) and the one before is 1277.
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 207th one is 1279.
- 2
1279 is prime because no prime up to ā1279 ā 35.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 207th prime is close to 207 Ć ln(207) ā 1104, and here it is 1279.
- 4
1279 is a twin prime: 1277 and 1279 are both prime.
Primes around the 207th
| Position | Prime | Gap from the previous |
|---|---|---|
| 204 | 1249 | 12 |
| 205 | 1259 | 10 |
| 206 | 1277 | 18 |
| 207 | 1279 | 2 |
| 208 | 1283 | 4 |
| 209 | 1289 | 6 |
| 210 | 1291 | 2 |
Questions
What is the 207th prime number?
1279.
Which prime number is 1279?
1279 is the 207th prime number.
What is the sum of the first 207 primes?
120,348.