What is the 4558th prime number?
The 4558th prime number is 43777. The next prime is 43781 (a gap of 4) and the one before is 43759.
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 4558th one is 43777.
- 2
43777 is prime because no prime up to ā43777 ā 209.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4558th prime is close to 4558 Ć ln(4558) ā 38400, and here it is 43777.
- 4
43777 has no twin: neither 43775 nor 43779 is prime.
Primes around the 4558th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4555 | 43721 | 4 |
| 4556 | 43753 | 32 |
| 4557 | 43759 | 6 |
| 4558 | 43777 | 18 |
| 4559 | 43781 | 4 |
| 4560 | 43783 | 2 |
| 4561 | 43787 | 4 |
Questions
What is the 4558th prime number?
43777.
Which prime number is 43777?
43777 is the 4558th prime number.
What is the sum of the first 4558 primes?
94,039,549.