What is the 1287th prime number?
The 1287th prime number is 10529. The next prime is 10531 (a gap of 2) and the one before is 10513.
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 1287th one is 10529.
- 2
10529 is prime because no prime up to ā10529 ā 102.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1287th prime is close to 1287 Ć ln(1287) ā 9215, and here it is 10529.
- 4
10529 is a twin prime: 10529 and 10531 are both prime.
Primes around the 1287th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1284 | 10499 | 12 |
| 1285 | 10501 | 2 |
| 1286 | 10513 | 12 |
| 1287 | 10529 | 16 |
| 1288 | 10531 | 2 |
| 1289 | 10559 | 28 |
| 1290 | 10567 | 8 |
Questions
What is the 1287th prime number?
10529.
Which prime number is 10529?
10529 is the 1287th prime number.
What is the sum of the first 1287 primes?
6,331,628.