What is the 1277th prime number?
The 1277th prime number is 10433. The next prime is 10453 (a gap of 20) and the one before is 10429.
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 1277th one is 10433.
- 2
10433 is prime because no prime up to ā10433 ā 102.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1277th prime is close to 1277 Ć ln(1277) ā 9133, and here it is 10433.
- 4
10433 has no twin: neither 10431 nor 10435 is prime.
Primes around the 1277th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1274 | 10399 | 8 |
| 1275 | 10427 | 28 |
| 1276 | 10429 | 2 |
| 1277 | 10433 | 4 |
| 1278 | 10453 | 20 |
| 1279 | 10457 | 4 |
| 1280 | 10459 | 2 |
Questions
What is the 1277th prime number?
10433.
Which prime number is 10433?
10433 is the 1277th prime number.
What is the sum of the first 1277 primes?
6,226,790.