What is the 6735th prime number?
The 6735th prime number is 67589. The next prime is 67601 (a gap of 12) and the one before is 67579.
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 6735th one is 67589.
- 2
67589 is prime because no prime up to ā67589 ā 259.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6735th prime is close to 6735 Ć ln(6735) ā 59370, and here it is 67589.
- 4
67589 has no twin: neither 67587 nor 67591 is prime.
Primes around the 6735th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6732 | 67567 | 8 |
| 6733 | 67577 | 10 |
| 6734 | 67579 | 2 |
| 6735 | 67589 | 10 |
| 6736 | 67601 | 12 |
| 6737 | 67607 | 6 |
| 6738 | 67619 | 12 |
Questions
What is the 6735th prime number?
67589.
Which prime number is 67589?
67589 is the 6735th prime number.
What is the sum of the first 6735 primes?
215,135,836.