What is the 6577th prime number?
The 6577th prime number is 65839. The next prime is 65843 (a gap of 4) and the one before is 65837.
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 6577th one is 65839.
- 2
65839 is prime because no prime up to ā65839 ā 256.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6577th prime is close to 6577 Ć ln(6577) ā 57821, and here it is 65839.
- 4
65839 is a twin prime: 65837 and 65839 are both prime.
Primes around the 6577th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6574 | 65827 | 18 |
| 6575 | 65831 | 4 |
| 6576 | 65837 | 6 |
| 6577 | 65839 | 2 |
| 6578 | 65843 | 4 |
| 6579 | 65851 | 8 |
| 6580 | 65867 | 16 |
Questions
What is the 6577th prime number?
65839.
Which prime number is 65839?
65839 is the 6577th prime number.
What is the sum of the first 6577 primes?
204,586,716.