What is the 1282nd prime number?
The 1282nd prime number is 10477. The next prime is 10487 (a gap of 10) and the one before is 10463.
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 1282nd one is 10477.
- 2
10477 is prime because no prime up to ā10477 ā 102.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1282nd prime is close to 1282 Ć ln(1282) ā 9174, and here it is 10477.
- 4
10477 has no twin: neither 10475 nor 10479 is prime.
Primes around the 1282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1279 | 10457 | 4 |
| 1280 | 10459 | 2 |
| 1281 | 10463 | 4 |
| 1282 | 10477 | 14 |
| 1283 | 10487 | 10 |
| 1284 | 10499 | 12 |
| 1285 | 10501 | 2 |
Questions
What is the 1282nd prime number?
10477.
Which prime number is 10477?
10477 is the 1282nd prime number.
What is the sum of the first 1282 primes?
6,279,099.