What is the 6242nd prime number?
The 6242nd prime number is 62099. The next prime is 62119 (a gap of 20) and the one before is 62081.
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 6242nd one is 62099.
- 2
62099 is prime because no prime up to ā62099 ā 249.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6242nd prime is close to 6242 Ć ln(6242) ā 54549, and here it is 62099.
- 4
62099 has no twin: neither 62097 nor 62101 is prime.
Primes around the 6242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6239 | 62057 | 4 |
| 6240 | 62071 | 14 |
| 6241 | 62081 | 10 |
| 6242 | 62099 | 18 |
| 6243 | 62119 | 20 |
| 6244 | 62129 | 10 |
| 6245 | 62131 | 2 |
Questions
What is the 6242nd prime number?
62099.
Which prime number is 62099?
62099 is the 6242nd prime number.
What is the sum of the first 6242 primes?
183,144,587.