What is the 6543rd prime number?
The 6543rd prime number is 65537. The next prime is 65539 (a gap of 2) and the one before is 65521.
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 6543rd one is 65537.
- 2
65537 is prime because no prime up to ā65537 ā 256.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6543rd prime is close to 6543 Ć ln(6543) ā 57488, and here it is 65537.
- 4
65537 is a twin prime: 65537 and 65539 are both prime.
Primes around the 6543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6540 | 65497 | 18 |
| 6541 | 65519 | 22 |
| 6542 | 65521 | 2 |
| 6543 | 65537 | 16 |
| 6544 | 65539 | 2 |
| 6545 | 65543 | 4 |
| 6546 | 65551 | 8 |
Questions
What is the 6543rd prime number?
65537.
Which prime number is 65537?
65537 is the 6543rd prime number.
What is the sum of the first 6543 primes?
202,353,624.