What is the 1291st prime number?
The 1291st prime number is 10589. The next prime is 10597 (a gap of 8) and the one before is 10567.
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 1291st one is 10589.
- 2
10589 is prime because no prime up to ā10589 ā 102.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1291st prime is close to 1291 Ć ln(1291) ā 9248, and here it is 10589.
- 4
10589 has no twin: neither 10587 nor 10591 is prime.
Primes around the 1291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1288 | 10531 | 2 |
| 1289 | 10559 | 28 |
| 1290 | 10567 | 8 |
| 1291 | 10589 | 22 |
| 1292 | 10597 | 8 |
| 1293 | 10601 | 4 |
| 1294 | 10607 | 6 |
Questions
What is the 1291st prime number?
10589.
Which prime number is 10589?
10589 is the 1291st prime number.
What is the sum of the first 1291 primes?
6,373,874.