What is the 1292nd prime number?
The 1292nd prime number is 10597. The next prime is 10601 (a gap of 4) and the one before is 10589.
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 1292nd one is 10597.
- 2
10597 is prime because no prime up to ā10597 ā 102.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1292nd prime is close to 1292 Ć ln(1292) ā 9256, and here it is 10597.
- 4
10597 has no twin: neither 10595 nor 10599 is prime.
Primes around the 1292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1289 | 10559 | 28 |
| 1290 | 10567 | 8 |
| 1291 | 10589 | 22 |
| 1292 | 10597 | 8 |
| 1293 | 10601 | 4 |
| 1294 | 10607 | 6 |
| 1295 | 10613 | 6 |
Questions
What is the 1292nd prime number?
10597.
Which prime number is 10597?
10597 is the 1292nd prime number.
What is the sum of the first 1292 primes?
6,384,471.