What is the 206th prime number?
The 206th prime number is 1277. The next prime is 1279 (a gap of 2) and the one before is 1259.
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 206th one is 1277.
- 2
1277 is prime because no prime up to ā1277 ā 35.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 206th prime is close to 206 Ć ln(206) ā 1098, and here it is 1277.
- 4
1277 is a twin prime: 1277 and 1279 are both prime.
Primes around the 206th
| Position | Prime | Gap from the previous |
|---|---|---|
| 203 | 1237 | 6 |
| 204 | 1249 | 12 |
| 205 | 1259 | 10 |
| 206 | 1277 | 18 |
| 207 | 1279 | 2 |
| 208 | 1283 | 4 |
| 209 | 1289 | 6 |
Questions
What is the 206th prime number?
1277.
Which prime number is 1277?
1277 is the 206th prime number.
What is the sum of the first 206 primes?
119,069.