What is the 1278th prime number?
The 1278th prime number is 10453. The next prime is 10457 (a gap of 4) and the one before is 10433.
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 1278th one is 10453.
- 2
10453 is prime because no prime up to ā10453 ā 102.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1278th prime is close to 1278 Ć ln(1278) ā 9142, and here it is 10453.
- 4
10453 has no twin: neither 10451 nor 10455 is prime.
Primes around the 1278th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1275 | 10427 | 28 |
| 1276 | 10429 | 2 |
| 1277 | 10433 | 4 |
| 1278 | 10453 | 20 |
| 1279 | 10457 | 4 |
| 1280 | 10459 | 2 |
| 1281 | 10463 | 4 |
Questions
What is the 1278th prime number?
10453.
Which prime number is 10453?
10453 is the 1278th prime number.
What is the sum of the first 1278 primes?
6,237,243.