What is the 1276th prime number?
The 1276th prime number is 10429. The next prime is 10433 (a gap of 4) and the one before is 10427.
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 1276th one is 10429.
- 2
10429 is prime because no prime up to ā10429 ā 102.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1276th prime is close to 1276 Ć ln(1276) ā 9125, and here it is 10429.
- 4
10429 is a twin prime: 10427 and 10429 are both prime.
Primes around the 1276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1273 | 10391 | 22 |
| 1274 | 10399 | 8 |
| 1275 | 10427 | 28 |
| 1276 | 10429 | 2 |
| 1277 | 10433 | 4 |
| 1278 | 10453 | 20 |
| 1279 | 10457 | 4 |
Questions
What is the 1276th prime number?
10429.
Which prime number is 10429?
10429 is the 1276th prime number.
What is the sum of the first 1276 primes?
6,216,357.