What is the 1290th prime number?
The 1290th prime number is 10567. The next prime is 10589 (a gap of 22) and the one before is 10559.
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 1290th one is 10567.
- 2
10567 is prime because no prime up to ā10567 ā 102.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1290th prime is close to 1290 Ć ln(1290) ā 9239, and here it is 10567.
- 4
10567 has no twin: neither 10565 nor 10569 is prime.
Primes around the 1290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1287 | 10529 | 16 |
| 1288 | 10531 | 2 |
| 1289 | 10559 | 28 |
| 1290 | 10567 | 8 |
| 1291 | 10589 | 22 |
| 1292 | 10597 | 8 |
| 1293 | 10601 | 4 |
Questions
What is the 1290th prime number?
10567.
Which prime number is 10567?
10567 is the 1290th prime number.
What is the sum of the first 1290 primes?
6,363,285.