What is the 6536th prime number?
The 6536th prime number is 65437. The next prime is 65447 (a gap of 10) and the one before is 65423.
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 6536th one is 65437.
- 2
65437 is prime because no prime up to ā65437 ā 255.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6536th prime is close to 6536 Ć ln(6536) ā 57419, and here it is 65437.
- 4
65437 has no twin: neither 65435 nor 65439 is prime.
Primes around the 6536th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6533 | 65413 | 6 |
| 6534 | 65419 | 6 |
| 6535 | 65423 | 4 |
| 6536 | 65437 | 14 |
| 6537 | 65447 | 10 |
| 6538 | 65449 | 2 |
| 6539 | 65479 | 30 |
Questions
What is the 6536th prime number?
65437.
Which prime number is 65437?
65437 is the 6536th prime number.
What is the sum of the first 6536 primes?
201,895,175.