What is the 6281st prime number?
The 6281st prime number is 62563. The next prime is 62581 (a gap of 18) and the one before is 62549.
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 6281st one is 62563.
- 2
62563 is prime because no prime up to ā62563 ā 250.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6281st prime is close to 6281 Ć ln(6281) ā 54929, and here it is 62563.
- 4
62563 has no twin: neither 62561 nor 62565 is prime.
Primes around the 6281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6278 | 62533 | 26 |
| 6279 | 62539 | 6 |
| 6280 | 62549 | 10 |
| 6281 | 62563 | 14 |
| 6282 | 62581 | 18 |
| 6283 | 62591 | 10 |
| 6284 | 62597 | 6 |
Questions
What is the 6281st prime number?
62563.
Which prime number is 62563?
62563 is the 6281st prime number.
What is the sum of the first 6281 primes?
185,575,514.