What is the 1289th prime number?
The 1289th prime number is 10559. The next prime is 10567 (a gap of 8) and the one before is 10531.
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 1289th one is 10559.
- 2
10559 is prime because no prime up to ā10559 ā 102.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1289th prime is close to 1289 Ć ln(1289) ā 9231, and here it is 10559.
- 4
10559 has no twin: neither 10557 nor 10561 is prime.
Primes around the 1289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1286 | 10513 | 12 |
| 1287 | 10529 | 16 |
| 1288 | 10531 | 2 |
| 1289 | 10559 | 28 |
| 1290 | 10567 | 8 |
| 1291 | 10589 | 22 |
| 1292 | 10597 | 8 |
Questions
What is the 1289th prime number?
10559.
Which prime number is 10559?
10559 is the 1289th prime number.
What is the sum of the first 1289 primes?
6,352,718.