What is the 6279th prime number?
The 6279th prime number is 62539. The next prime is 62549 (a gap of 10) and the one before is 62533.
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 6279th one is 62539.
- 2
62539 is prime because no prime up to ā62539 ā 250.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6279th prime is close to 6279 Ć ln(6279) ā 54910, and here it is 62539.
- 4
62539 has no twin: neither 62537 nor 62541 is prime.
Primes around the 6279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6276 | 62501 | 4 |
| 6277 | 62507 | 6 |
| 6278 | 62533 | 26 |
| 6279 | 62539 | 6 |
| 6280 | 62549 | 10 |
| 6281 | 62563 | 14 |
| 6282 | 62581 | 18 |
Questions
What is the 6279th prime number?
62539.
Which prime number is 62539?
62539 is the 6279th prime number.
What is the sum of the first 6279 primes?
185,450,402.