What is the 1280th prime number?
The 1280th prime number is 10459. The next prime is 10463 (a gap of 4) and the one before is 10457.
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 1280th one is 10459.
- 2
10459 is prime because no prime up to ā10459 ā 102.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1280th prime is close to 1280 Ć ln(1280) ā 9158, and here it is 10459.
- 4
10459 is a twin prime: 10457 and 10459 are both prime.
Primes around the 1280th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1277 | 10433 | 4 |
| 1278 | 10453 | 20 |
| 1279 | 10457 | 4 |
| 1280 | 10459 | 2 |
| 1281 | 10463 | 4 |
| 1282 | 10477 | 14 |
| 1283 | 10487 | 10 |
Questions
What is the 1280th prime number?
10459.
Which prime number is 10459?
10459 is the 1280th prime number.
What is the sum of the first 1280 primes?
6,258,159.