What is the 1279th prime number?
The 1279th prime number is 10457. The next prime is 10459 (a gap of 2) and the one before is 10453.
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 1279th one is 10457.
- 2
10457 is prime because no prime up to ā10457 ā 102.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1279th prime is close to 1279 Ć ln(1279) ā 9150, and here it is 10457.
- 4
10457 is a twin prime: 10457 and 10459 are both prime.
Primes around the 1279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1276 | 10429 | 2 |
| 1277 | 10433 | 4 |
| 1278 | 10453 | 20 |
| 1279 | 10457 | 4 |
| 1280 | 10459 | 2 |
| 1281 | 10463 | 4 |
| 1282 | 10477 | 14 |
Questions
What is the 1279th prime number?
10457.
Which prime number is 10457?
10457 is the 1279th prime number.
What is the sum of the first 1279 primes?
6,247,700.