What is the 4663rd prime number?
The 4663rd prime number is 44879. The next prime is 44887 (a gap of 8) and the one before is 44867.
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 4663rd one is 44879.
- 2
44879 is prime because no prime up to ā44879 ā 211.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4663rd prime is close to 4663 Ć ln(4663) ā 39390, and here it is 44879.
- 4
44879 has no twin: neither 44877 nor 44881 is prime.
Primes around the 4663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4660 | 44843 | 4 |
| 4661 | 44851 | 8 |
| 4662 | 44867 | 16 |
| 4663 | 44879 | 12 |
| 4664 | 44887 | 8 |
| 4665 | 44893 | 6 |
| 4666 | 44909 | 16 |
Questions
What is the 4663rd prime number?
44879.
Which prime number is 44879?
44879 is the 4663rd prime number.
What is the sum of the first 4663 primes?
98,694,112.