What is the 6262nd prime number?
The 6262nd prime number is 62323. The next prime is 62327 (a gap of 4) and the one before is 62311.
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 6262nd one is 62323.
- 2
62323 is prime because no prime up to ā62323 ā 249.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6262nd prime is close to 6262 Ć ln(6262) ā 54744, and here it is 62323.
- 4
62323 has no twin: neither 62321 nor 62325 is prime.
Primes around the 6262nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6259 | 62299 | 2 |
| 6260 | 62303 | 4 |
| 6261 | 62311 | 8 |
| 6262 | 62323 | 12 |
| 6263 | 62327 | 4 |
| 6264 | 62347 | 20 |
| 6265 | 62351 | 4 |
Questions
What is the 6262nd prime number?
62323.
Which prime number is 62323?
62323 is the 6262nd prime number.
What is the sum of the first 6262 primes?
184,388,817.