What is the 6665th prime number?
The 6665th prime number is 66883. The next prime is 66889 (a gap of 6) and the one before is 66877.
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 6665th one is 66883.
- 2
66883 is prime because no prime up to ā66883 ā 258.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6665th prime is close to 6665 Ć ln(6665) ā 58683, and here it is 66883.
- 4
66883 has no twin: neither 66881 nor 66885 is prime.
Primes around the 6665th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6662 | 66853 | 2 |
| 6663 | 66863 | 10 |
| 6664 | 66877 | 14 |
| 6665 | 66883 | 6 |
| 6666 | 66889 | 6 |
| 6667 | 66919 | 30 |
| 6668 | 66923 | 4 |
Questions
What is the 6665th prime number?
66883.
Which prime number is 66883?
66883 is the 6665th prime number.
What is the sum of the first 6665 primes?
210,428,020.