What is the 1285th prime number?
The 1285th prime number is 10501. The next prime is 10513 (a gap of 12) and the one before is 10499.
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 1285th one is 10501.
- 2
10501 is prime because no prime up to ā10501 ā 102.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1285th prime is close to 1285 Ć ln(1285) ā 9199, and here it is 10501.
- 4
10501 is a twin prime: 10499 and 10501 are both prime.
Primes around the 1285th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1282 | 10477 | 14 |
| 1283 | 10487 | 10 |
| 1284 | 10499 | 12 |
| 1285 | 10501 | 2 |
| 1286 | 10513 | 12 |
| 1287 | 10529 | 16 |
| 1288 | 10531 | 2 |
Questions
What is the 1285th prime number?
10501.
Which prime number is 10501?
10501 is the 1285th prime number.
What is the sum of the first 1285 primes?
6,310,586.