What is the 6685th prime number?
The 6685th prime number is 67103. The next prime is 67121 (a gap of 18) and the one before is 67079.
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 6685th one is 67103.
- 2
67103 is prime because no prime up to ā67103 ā 259.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6685th prime is close to 6685 Ć ln(6685) ā 58879, and here it is 67103.
- 4
67103 has no twin: neither 67101 nor 67105 is prime.
Primes around the 6685th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6682 | 67061 | 4 |
| 6683 | 67073 | 12 |
| 6684 | 67079 | 6 |
| 6685 | 67103 | 24 |
| 6686 | 67121 | 18 |
| 6687 | 67129 | 8 |
| 6688 | 67139 | 10 |
Questions
What is the 6685th prime number?
67103.
Which prime number is 67103?
67103 is the 6685th prime number.
What is the sum of the first 6685 primes?
211,767,952.