What is the 4454th prime number?
The 4454th prime number is 42589. The next prime is 42611 (a gap of 22) and the one before is 42577.
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 4454th one is 42589.
- 2
42589 is prime because no prime up to ā42589 ā 206.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4454th prime is close to 4454 Ć ln(4454) ā 37421, and here it is 42589.
- 4
42589 has no twin: neither 42587 nor 42591 is prime.
Primes around the 4454th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4451 | 42569 | 12 |
| 4452 | 42571 | 2 |
| 4453 | 42577 | 6 |
| 4454 | 42589 | 12 |
| 4455 | 42611 | 22 |
| 4456 | 42641 | 30 |
| 4457 | 42643 | 2 |
Questions
What is the 4454th prime number?
42589.
Which prime number is 42589?
42589 is the 4454th prime number.
What is the sum of the first 4454 primes?
89,550,307.