What is the 4563rd prime number?
The 4563rd prime number is 43793. The next prime is 43801 (a gap of 8) and the one before is 43789.
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 4563rd one is 43793.
- 2
43793 is prime because no prime up to ā43793 ā 209.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4563rd prime is close to 4563 Ć ln(4563) ā 38447, and here it is 43793.
- 4
43793 has no twin: neither 43791 nor 43795 is prime.
Primes around the 4563rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4560 | 43783 | 2 |
| 4561 | 43787 | 4 |
| 4562 | 43789 | 2 |
| 4563 | 43793 | 4 |
| 4564 | 43801 | 8 |
| 4565 | 43853 | 52 |
| 4566 | 43867 | 14 |
Questions
What is the 4563rd prime number?
43793.
Which prime number is 43793?
43793 is the 4563rd prime number.
What is the sum of the first 4563 primes?
94,258,482.