What is the 1284th prime number?
The 1284th prime number is 10499. The next prime is 10501 (a gap of 2) and the one before is 10487.
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 1284th one is 10499.
- 2
10499 is prime because no prime up to ā10499 ā 102.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1284th prime is close to 1284 Ć ln(1284) ā 9191, and here it is 10499.
- 4
10499 is a twin prime: 10499 and 10501 are both prime.
Primes around the 1284th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1281 | 10463 | 4 |
| 1282 | 10477 | 14 |
| 1283 | 10487 | 10 |
| 1284 | 10499 | 12 |
| 1285 | 10501 | 2 |
| 1286 | 10513 | 12 |
| 1287 | 10529 | 16 |
Questions
What is the 1284th prime number?
10499.
Which prime number is 10499?
10499 is the 1284th prime number.
What is the sum of the first 1284 primes?
6,300,085.