What is the 6241st prime number?
The 6241st prime number is 62081. The next prime is 62099 (a gap of 18) and the one before is 62071.
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 6241st one is 62081.
- 2
62081 is prime because no prime up to ā62081 ā 249.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6241st prime is close to 6241 Ć ln(6241) ā 54539, and here it is 62081.
- 4
62081 has no twin: neither 62079 nor 62083 is prime.
Primes around the 6241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6238 | 62053 | 6 |
| 6239 | 62057 | 4 |
| 6240 | 62071 | 14 |
| 6241 | 62081 | 10 |
| 6242 | 62099 | 18 |
| 6243 | 62119 | 20 |
| 6244 | 62129 | 10 |
Questions
What is the 6241st prime number?
62081.
Which prime number is 62081?
62081 is the 6241st prime number.
What is the sum of the first 6241 primes?
183,082,488.