What is the 6725th prime number?
The 6725th prime number is 67499. The next prime is 67511 (a gap of 12) and the one before is 67493.
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 6725th one is 67499.
- 2
67499 is prime because no prime up to ā67499 ā 259.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6725th prime is close to 6725 Ć ln(6725) ā 59271, and here it is 67499.
- 4
67499 has no twin: neither 67497 nor 67501 is prime.
Primes around the 6725th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6722 | 67481 | 4 |
| 6723 | 67489 | 8 |
| 6724 | 67493 | 4 |
| 6725 | 67499 | 6 |
| 6726 | 67511 | 12 |
| 6727 | 67523 | 12 |
| 6728 | 67531 | 8 |
Questions
What is the 6725th prime number?
67499.
Which prime number is 67499?
67499 is the 6725th prime number.
What is the sum of the first 6725 primes?
214,460,316.