What is the 6288th prime number?
The 6288th prime number is 62633. The next prime is 62639 (a gap of 6) and the one before is 62627.
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 6288th one is 62633.
- 2
62633 is prime because no prime up to ā62633 ā 250.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6288th prime is close to 6288 Ć ln(6288) ā 54997, and here it is 62633.
- 4
62633 has no twin: neither 62631 nor 62635 is prime.
Primes around the 6288th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6285 | 62603 | 6 |
| 6286 | 62617 | 14 |
| 6287 | 62627 | 10 |
| 6288 | 62633 | 6 |
| 6289 | 62639 | 6 |
| 6290 | 62653 | 14 |
| 6291 | 62659 | 6 |
Questions
What is the 6288th prime number?
62633.
Which prime number is 62633?
62633 is the 6288th prime number.
What is the sum of the first 6288 primes?
186,013,763.