What is the 6583rd prime number?
The 6583rd prime number is 65921. The next prime is 65927 (a gap of 6) and the one before is 65899.
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 6583rd one is 65921.
- 2
65921 is prime because no prime up to ā65921 ā 256.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6583rd prime is close to 6583 Ć ln(6583) ā 57879, and here it is 65921.
- 4
65921 has no twin: neither 65919 nor 65923 is prime.
Primes around the 6583rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6580 | 65867 | 16 |
| 6581 | 65881 | 14 |
| 6582 | 65899 | 18 |
| 6583 | 65921 | 22 |
| 6584 | 65927 | 6 |
| 6585 | 65929 | 2 |
| 6586 | 65951 | 22 |
Questions
What is the 6583rd prime number?
65921.
Which prime number is 65921?
65921 is the 6583rd prime number.
What is the sum of the first 6583 primes?
204,981,978.