What is the 6243rd prime number?
The 6243rd prime number is 62119. The next prime is 62129 (a gap of 10) and the one before is 62099.
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 6243rd one is 62119.
- 2
62119 is prime because no prime up to ā62119 ā 249.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6243rd prime is close to 6243 Ć ln(6243) ā 54559, and here it is 62119.
- 4
62119 has no twin: neither 62117 nor 62121 is prime.
Primes around the 6243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6240 | 62071 | 14 |
| 6241 | 62081 | 10 |
| 6242 | 62099 | 18 |
| 6243 | 62119 | 20 |
| 6244 | 62129 | 10 |
| 6245 | 62131 | 2 |
| 6246 | 62137 | 6 |
Questions
What is the 6243rd prime number?
62119.
Which prime number is 62119?
62119 is the 6243rd prime number.
What is the sum of the first 6243 primes?
183,206,706.