What is the 6582nd prime number?
The 6582nd prime number is 65899. The next prime is 65921 (a gap of 22) and the one before is 65881.
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 6582nd one is 65899.
- 2
65899 is prime because no prime up to ā65899 ā 256.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6582nd prime is close to 6582 Ć ln(6582) ā 57870, and here it is 65899.
- 4
65899 has no twin: neither 65897 nor 65901 is prime.
Primes around the 6582nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6579 | 65851 | 8 |
| 6580 | 65867 | 16 |
| 6581 | 65881 | 14 |
| 6582 | 65899 | 18 |
| 6583 | 65921 | 22 |
| 6584 | 65927 | 6 |
| 6585 | 65929 | 2 |
Questions
What is the 6582nd prime number?
65899.
Which prime number is 65899?
65899 is the 6582nd prime number.
What is the sum of the first 6582 primes?
204,916,057.