What is the 6736th prime number?
The 6736th prime number is 67601. The next prime is 67607 (a gap of 6) and the one before is 67589.
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 6736th one is 67601.
- 2
67601 is prime because no prime up to ā67601 ā 260.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6736th prime is close to 6736 Ć ln(6736) ā 59379, and here it is 67601.
- 4
67601 has no twin: neither 67599 nor 67603 is prime.
Primes around the 6736th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6733 | 67577 | 10 |
| 6734 | 67579 | 2 |
| 6735 | 67589 | 10 |
| 6736 | 67601 | 12 |
| 6737 | 67607 | 6 |
| 6738 | 67619 | 12 |
| 6739 | 67631 | 12 |
Questions
What is the 6736th prime number?
67601.
Which prime number is 67601?
67601 is the 6736th prime number.
What is the sum of the first 6736 primes?
215,203,437.