What is the 1283rd prime number?
The 1283rd prime number is 10487. The next prime is 10499 (a gap of 12) and the one before is 10477.
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 1283rd one is 10487.
- 2
10487 is prime because no prime up to ā10487 ā 102.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1283rd prime is close to 1283 Ć ln(1283) ā 9182, and here it is 10487.
- 4
10487 has no twin: neither 10485 nor 10489 is prime.
Primes around the 1283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1280 | 10459 | 2 |
| 1281 | 10463 | 4 |
| 1282 | 10477 | 14 |
| 1283 | 10487 | 10 |
| 1284 | 10499 | 12 |
| 1285 | 10501 | 2 |
| 1286 | 10513 | 12 |
Questions
What is the 1283rd prime number?
10487.
Which prime number is 10487?
10487 is the 1283rd prime number.
What is the sum of the first 1283 primes?
6,289,586.