What is the 6246th prime number?
The 6246th prime number is 62137. The next prime is 62141 (a gap of 4) and the one before is 62131.
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 6246th one is 62137.
- 2
62137 is prime because no prime up to ā62137 ā 249.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6246th prime is close to 6246 Ć ln(6246) ā 54588, and here it is 62137.
- 4
62137 has no twin: neither 62135 nor 62139 is prime.
Primes around the 6246th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6243 | 62119 | 20 |
| 6244 | 62129 | 10 |
| 6245 | 62131 | 2 |
| 6246 | 62137 | 6 |
| 6247 | 62141 | 4 |
| 6248 | 62143 | 2 |
| 6249 | 62171 | 28 |
Questions
What is the 6246th prime number?
62137.
Which prime number is 62137?
62137 is the 6246th prime number.
What is the sum of the first 6246 primes?
183,393,103.