What is the 6290th prime number?
The 6290th prime number is 62653. The next prime is 62659 (a gap of 6) and the one before is 62639.
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 6290th one is 62653.
- 2
62653 is prime because no prime up to ā62653 ā 250.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6290th prime is close to 6290 Ć ln(6290) ā 55017, and here it is 62653.
- 4
62653 has no twin: neither 62651 nor 62655 is prime.
Primes around the 6290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6287 | 62627 | 10 |
| 6288 | 62633 | 6 |
| 6289 | 62639 | 6 |
| 6290 | 62653 | 14 |
| 6291 | 62659 | 6 |
| 6292 | 62683 | 24 |
| 6293 | 62687 | 4 |
Questions
What is the 6290th prime number?
62653.
Which prime number is 62653?
62653 is the 6290th prime number.
What is the sum of the first 6290 primes?
186,139,055.