What is the 1288th prime number?
The 1288th prime number is 10531. The next prime is 10559 (a gap of 28) and the one before is 10529.
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 1288th one is 10531.
- 2
10531 is prime because no prime up to ā10531 ā 102.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1288th prime is close to 1288 Ć ln(1288) ā 9223, and here it is 10531.
- 4
10531 is a twin prime: 10529 and 10531 are both prime.
Primes around the 1288th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1285 | 10501 | 2 |
| 1286 | 10513 | 12 |
| 1287 | 10529 | 16 |
| 1288 | 10531 | 2 |
| 1289 | 10559 | 28 |
| 1290 | 10567 | 8 |
| 1291 | 10589 | 22 |
Questions
What is the 1288th prime number?
10531.
Which prime number is 10531?
10531 is the 1288th prime number.
What is the sum of the first 1288 primes?
6,342,159.