What is the 4455th prime number?
The 4455th prime number is 42611. The next prime is 42641 (a gap of 30) and the one before is 42589.
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 4455th one is 42611.
- 2
42611 is prime because no prime up to ā42611 ā 206.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4455th prime is close to 4455 Ć ln(4455) ā 37430, and here it is 42611.
- 4
42611 has no twin: neither 42609 nor 42613 is prime.
Primes around the 4455th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4452 | 42571 | 2 |
| 4453 | 42577 | 6 |
| 4454 | 42589 | 12 |
| 4455 | 42611 | 22 |
| 4456 | 42641 | 30 |
| 4457 | 42643 | 2 |
| 4458 | 42649 | 6 |
Questions
What is the 4455th prime number?
42611.
Which prime number is 42611?
42611 is the 4455th prime number.
What is the sum of the first 4455 primes?
89,592,918.