What is the 1281st prime number?
The 1281st prime number is 10463. The next prime is 10477 (a gap of 14) and the one before is 10459.
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 1281st one is 10463.
- 2
10463 is prime because no prime up to ā10463 ā 102.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1281st prime is close to 1281 Ć ln(1281) ā 9166, and here it is 10463.
- 4
10463 has no twin: neither 10461 nor 10465 is prime.
Primes around the 1281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1278 | 10453 | 20 |
| 1279 | 10457 | 4 |
| 1280 | 10459 | 2 |
| 1281 | 10463 | 4 |
| 1282 | 10477 | 14 |
| 1283 | 10487 | 10 |
| 1284 | 10499 | 12 |
Questions
What is the 1281st prime number?
10463.
Which prime number is 10463?
10463 is the 1281st prime number.
What is the sum of the first 1281 primes?
6,268,622.