What is the 6282nd prime number?
The 6282nd prime number is 62581. The next prime is 62591 (a gap of 10) and the one before is 62563.
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 6282nd one is 62581.
- 2
62581 is prime because no prime up to ā62581 ā 250.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6282nd prime is close to 6282 Ć ln(6282) ā 54939, and here it is 62581.
- 4
62581 has no twin: neither 62579 nor 62583 is prime.
Primes around the 6282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6279 | 62539 | 6 |
| 6280 | 62549 | 10 |
| 6281 | 62563 | 14 |
| 6282 | 62581 | 18 |
| 6283 | 62591 | 10 |
| 6284 | 62597 | 6 |
| 6285 | 62603 | 6 |
Questions
What is the 6282nd prime number?
62581.
Which prime number is 62581?
62581 is the 6282nd prime number.
What is the sum of the first 6282 primes?
185,638,095.