What is the 1286th prime number?
The 1286th prime number is 10513. The next prime is 10529 (a gap of 16) and the one before is 10501.
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 1286th one is 10513.
- 2
10513 is prime because no prime up to ā10513 ā 102.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1286th prime is close to 1286 Ć ln(1286) ā 9207, and here it is 10513.
- 4
10513 has no twin: neither 10511 nor 10515 is prime.
Primes around the 1286th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1283 | 10487 | 10 |
| 1284 | 10499 | 12 |
| 1285 | 10501 | 2 |
| 1286 | 10513 | 12 |
| 1287 | 10529 | 16 |
| 1288 | 10531 | 2 |
| 1289 | 10559 | 28 |
Questions
What is the 1286th prime number?
10513.
Which prime number is 10513?
10513 is the 1286th prime number.
What is the sum of the first 1286 primes?
6,321,099.