What is the 6291st prime number?
The 6291st prime number is 62659. The next prime is 62683 (a gap of 24) and the one before is 62653.
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 6291st one is 62659.
- 2
62659 is prime because no prime up to ā62659 ā 250.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6291st prime is close to 6291 Ć ln(6291) ā 55027, and here it is 62659.
- 4
62659 has no twin: neither 62657 nor 62661 is prime.
Primes around the 6291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6288 | 62633 | 6 |
| 6289 | 62639 | 6 |
| 6290 | 62653 | 14 |
| 6291 | 62659 | 6 |
| 6292 | 62683 | 24 |
| 6293 | 62687 | 4 |
| 6294 | 62701 | 14 |
Questions
What is the 6291st prime number?
62659.
Which prime number is 62659?
62659 is the 6291st prime number.
What is the sum of the first 6291 primes?
186,201,714.