What is the 6273rd prime number?
The 6273rd prime number is 62477. The next prime is 62483 (a gap of 6) and the one before is 62473.
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 6273rd one is 62477.
- 2
62477 is prime because no prime up to ā62477 ā 249.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6273rd prime is close to 6273 Ć ln(6273) ā 54851, and here it is 62477.
- 4
62477 has no twin: neither 62475 nor 62479 is prime.
Primes around the 6273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6270 | 62459 | 36 |
| 6271 | 62467 | 8 |
| 6272 | 62473 | 6 |
| 6273 | 62477 | 4 |
| 6274 | 62483 | 6 |
| 6275 | 62497 | 14 |
| 6276 | 62501 | 4 |
Questions
What is the 6273rd prime number?
62477.
Which prime number is 62477?
62477 is the 6273rd prime number.
What is the sum of the first 6273 primes?
185,075,342.