What is the 6663rd prime number?
The 6663rd prime number is 66863. The next prime is 66877 (a gap of 14) and the one before is 66853.
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 6663rd one is 66863.
- 2
66863 is prime because no prime up to ā66863 ā 258.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6663rd prime is close to 6663 Ć ln(6663) ā 58663, and here it is 66863.
- 4
66863 has no twin: neither 66861 nor 66865 is prime.
Primes around the 6663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6660 | 66841 | 20 |
| 6661 | 66851 | 10 |
| 6662 | 66853 | 2 |
| 6663 | 66863 | 10 |
| 6664 | 66877 | 14 |
| 6665 | 66883 | 6 |
| 6666 | 66889 | 6 |
Questions
What is the 6663rd prime number?
66863.
Which prime number is 66863?
66863 is the 6663rd prime number.
What is the sum of the first 6663 primes?
210,294,260.