What is the 6289th prime number?
The 6289th prime number is 62639. The next prime is 62653 (a gap of 14) and the one before is 62633.
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 6289th one is 62639.
- 2
62639 is prime because no prime up to ā62639 ā 250.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6289th prime is close to 6289 Ć ln(6289) ā 55007, and here it is 62639.
- 4
62639 has no twin: neither 62637 nor 62641 is prime.
Primes around the 6289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6286 | 62617 | 14 |
| 6287 | 62627 | 10 |
| 6288 | 62633 | 6 |
| 6289 | 62639 | 6 |
| 6290 | 62653 | 14 |
| 6291 | 62659 | 6 |
| 6292 | 62683 | 24 |
Questions
What is the 6289th prime number?
62639.
Which prime number is 62639?
62639 is the 6289th prime number.
What is the sum of the first 6289 primes?
186,076,402.