What is the 6542nd prime number?
The 6542nd prime number is 65521. The next prime is 65537 (a gap of 16) and the one before is 65519.
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 6542nd one is 65521.
- 2
65521 is prime because no prime up to ā65521 ā 255.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6542nd prime is close to 6542 Ć ln(6542) ā 57478, and here it is 65521.
- 4
65521 is a twin prime: 65519 and 65521 are both prime.
Primes around the 6542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6539 | 65479 | 30 |
| 6540 | 65497 | 18 |
| 6541 | 65519 | 22 |
| 6542 | 65521 | 2 |
| 6543 | 65537 | 16 |
| 6544 | 65539 | 2 |
| 6545 | 65543 | 4 |
Questions
What is the 6542nd prime number?
65521.
Which prime number is 65521?
65521 is the 6542nd prime number.
What is the sum of the first 6542 primes?
202,288,087.