What is the 6731st prime number?
The 6731st prime number is 67559. The next prime is 67567 (a gap of 8) and the one before is 67547.
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 6731st one is 67559.
- 2
67559 is prime because no prime up to ā67559 ā 259.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6731st prime is close to 6731 Ć ln(6731) ā 59330, and here it is 67559.
- 4
67559 has no twin: neither 67557 nor 67561 is prime.
Primes around the 6731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6728 | 67531 | 8 |
| 6729 | 67537 | 6 |
| 6730 | 67547 | 10 |
| 6731 | 67559 | 12 |
| 6732 | 67567 | 8 |
| 6733 | 67577 | 10 |
| 6734 | 67579 | 2 |
Questions
What is the 6731st prime number?
67559.
Which prime number is 67559?
67559 is the 6731st prime number.
What is the sum of the first 6731 primes?
214,865,524.