What is the 6245th prime number?
The 6245th prime number is 62131. The next prime is 62137 (a gap of 6) and the one before is 62129.
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 6245th one is 62131.
- 2
62131 is prime because no prime up to ā62131 ā 249.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6245th prime is close to 6245 Ć ln(6245) ā 54578, and here it is 62131.
- 4
62131 is a twin prime: 62129 and 62131 are both prime.
Primes around the 6245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6242 | 62099 | 18 |
| 6243 | 62119 | 20 |
| 6244 | 62129 | 10 |
| 6245 | 62131 | 2 |
| 6246 | 62137 | 6 |
| 6247 | 62141 | 4 |
| 6248 | 62143 | 2 |
Questions
What is the 6245th prime number?
62131.
Which prime number is 62131?
62131 is the 6245th prime number.
What is the sum of the first 6245 primes?
183,330,966.