What is the 4453rd prime number?
The 4453rd prime number is 42577. The next prime is 42589 (a gap of 12) and the one before is 42571.
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 4453rd one is 42577.
- 2
42577 is prime because no prime up to ā42577 ā 206.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4453rd prime is close to 4453 Ć ln(4453) ā 37411, and here it is 42577.
- 4
42577 has no twin: neither 42575 nor 42579 is prime.
Primes around the 4453rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4450 | 42557 | 24 |
| 4451 | 42569 | 12 |
| 4452 | 42571 | 2 |
| 4453 | 42577 | 6 |
| 4454 | 42589 | 12 |
| 4455 | 42611 | 22 |
| 4456 | 42641 | 30 |
Questions
What is the 4453rd prime number?
42577.
Which prime number is 42577?
42577 is the 4453rd prime number.
What is the sum of the first 4453 primes?
89,507,718.