What is the 1275th prime number?
The 1275th prime number is 10427. The next prime is 10429 (a gap of 2) and the one before is 10399.
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 1275th one is 10427.
- 2
10427 is prime because no prime up to ā10427 ā 102.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1275th prime is close to 1275 Ć ln(1275) ā 9117, and here it is 10427.
- 4
10427 is a twin prime: 10427 and 10429 are both prime.
Primes around the 1275th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1272 | 10369 | 12 |
| 1273 | 10391 | 22 |
| 1274 | 10399 | 8 |
| 1275 | 10427 | 28 |
| 1276 | 10429 | 2 |
| 1277 | 10433 | 4 |
| 1278 | 10453 | 20 |
Questions
What is the 1275th prime number?
10427.
Which prime number is 10427?
10427 is the 1275th prime number.
What is the sum of the first 1275 primes?
6,205,928.