What is the 6690th prime number?
The 6690th prime number is 67153. The next prime is 67157 (a gap of 4) and the one before is 67141.
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 6690th one is 67153.
- 2
67153 is prime because no prime up to ā67153 ā 259.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6690th prime is close to 6690 Ć ln(6690) ā 58928, and here it is 67153.
- 4
67153 has no twin: neither 67151 nor 67155 is prime.
Primes around the 6690th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6687 | 67129 | 8 |
| 6688 | 67139 | 10 |
| 6689 | 67141 | 2 |
| 6690 | 67153 | 12 |
| 6691 | 67157 | 4 |
| 6692 | 67169 | 12 |
| 6693 | 67181 | 12 |
Questions
What is the 6690th prime number?
67153.
Which prime number is 67153?
67153 is the 6690th prime number.
What is the sum of the first 6690 primes?
212,103,635.