What is the 4553rd prime number?
The 4553rd prime number is 43711. The next prime is 43717 (a gap of 6) and the one before is 43691.
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 4553rd one is 43711.
- 2
43711 is prime because no prime up to ā43711 ā 209.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4553rd prime is close to 4553 Ć ln(4553) ā 38352, and here it is 43711.
- 4
43711 has no twin: neither 43709 nor 43713 is prime.
Primes around the 4553rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4550 | 43661 | 10 |
| 4551 | 43669 | 8 |
| 4552 | 43691 | 22 |
| 4553 | 43711 | 20 |
| 4554 | 43717 | 6 |
| 4555 | 43721 | 4 |
| 4556 | 43753 | 32 |
Questions
What is the 4553rd prime number?
43711.
Which prime number is 43711?
43711 is the 4553rd prime number.
What is the sum of the first 4553 primes?
93,820,822.