What is the 6585th prime number?
The 6585th prime number is 65929. The next prime is 65951 (a gap of 22) and the one before is 65927.
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 6585th one is 65929.
- 2
65929 is prime because no prime up to ā65929 ā 256.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6585th prime is close to 6585 Ć ln(6585) ā 57899, and here it is 65929.
- 4
65929 is a twin prime: 65927 and 65929 are both prime.
Primes around the 6585th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6582 | 65899 | 18 |
| 6583 | 65921 | 22 |
| 6584 | 65927 | 6 |
| 6585 | 65929 | 2 |
| 6586 | 65951 | 22 |
| 6587 | 65957 | 6 |
| 6588 | 65963 | 6 |
Questions
What is the 6585th prime number?
65929.
Which prime number is 65929?
65929 is the 6585th prime number.
What is the sum of the first 6585 primes?
205,113,834.