What is the 6688th prime number?
The 6688th prime number is 67139. The next prime is 67141 (a gap of 2) and the one before is 67129.
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 6688th one is 67139.
- 2
67139 is prime because no prime up to ā67139 ā 259.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6688th prime is close to 6688 Ć ln(6688) ā 58908, and here it is 67139.
- 4
67139 is a twin prime: 67139 and 67141 are both prime.
Primes around the 6688th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6685 | 67103 | 24 |
| 6686 | 67121 | 18 |
| 6687 | 67129 | 8 |
| 6688 | 67139 | 10 |
| 6689 | 67141 | 2 |
| 6690 | 67153 | 12 |
| 6691 | 67157 | 4 |
Questions
What is the 6688th prime number?
67139.
Which prime number is 67139?
67139 is the 6688th prime number.
What is the sum of the first 6688 primes?
211,969,341.