What is the 6240th prime number?
The 6240th prime number is 62071. The next prime is 62081 (a gap of 10) and the one before is 62057.
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 6240th one is 62071.
- 2
62071 is prime because no prime up to ā62071 ā 249.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6240th prime is close to 6240 Ć ln(6240) ā 54530, and here it is 62071.
- 4
62071 has no twin: neither 62069 nor 62073 is prime.
Primes around the 6240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6237 | 62047 | 8 |
| 6238 | 62053 | 6 |
| 6239 | 62057 | 4 |
| 6240 | 62071 | 14 |
| 6241 | 62081 | 10 |
| 6242 | 62099 | 18 |
| 6243 | 62119 | 20 |
Questions
What is the 6240th prime number?
62071.
Which prime number is 62071?
62071 is the 6240th prime number.
What is the sum of the first 6240 primes?
183,020,407.