What is the 6687th prime number?
The 6687th prime number is 67129. The next prime is 67139 (a gap of 10) and the one before is 67121.
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 6687th one is 67129.
- 2
67129 is prime because no prime up to ā67129 ā 259.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6687th prime is close to 6687 Ć ln(6687) ā 58899, and here it is 67129.
- 4
67129 has no twin: neither 67127 nor 67131 is prime.
Primes around the 6687th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6684 | 67079 | 6 |
| 6685 | 67103 | 24 |
| 6686 | 67121 | 18 |
| 6687 | 67129 | 8 |
| 6688 | 67139 | 10 |
| 6689 | 67141 | 2 |
| 6690 | 67153 | 12 |
Questions
What is the 6687th prime number?
67129.
Which prime number is 67129?
67129 is the 6687th prime number.
What is the sum of the first 6687 primes?
211,902,202.