What is the 4456th prime number?
The 4456th prime number is 42641. The next prime is 42643 (a gap of 2) and the one before is 42611.
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 4456th one is 42641.
- 2
42641 is prime because no prime up to ā42641 ā 206.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4456th prime is close to 4456 Ć ln(4456) ā 37439, and here it is 42641.
- 4
42641 is a twin prime: 42641 and 42643 are both prime.
Primes around the 4456th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4453 | 42577 | 6 |
| 4454 | 42589 | 12 |
| 4455 | 42611 | 22 |
| 4456 | 42641 | 30 |
| 4457 | 42643 | 2 |
| 4458 | 42649 | 6 |
| 4459 | 42667 | 18 |
Questions
What is the 4456th prime number?
42641.
Which prime number is 42641?
42641 is the 4456th prime number.
What is the sum of the first 4456 primes?
89,635,559.