What is the 6691st prime number?
The 6691st prime number is 67157. The next prime is 67169 (a gap of 12) and the one before is 67153.
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 6691st one is 67157.
- 2
67157 is prime because no prime up to ā67157 ā 259.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6691st prime is close to 6691 Ć ln(6691) ā 58938, and here it is 67157.
- 4
67157 has no twin: neither 67155 nor 67159 is prime.
Primes around the 6691st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6688 | 67139 | 10 |
| 6689 | 67141 | 2 |
| 6690 | 67153 | 12 |
| 6691 | 67157 | 4 |
| 6692 | 67169 | 12 |
| 6693 | 67181 | 12 |
| 6694 | 67187 | 6 |
Questions
What is the 6691st prime number?
67157.
Which prime number is 67157?
67157 is the 6691st prime number.
What is the sum of the first 6691 primes?
212,170,792.