What is the 4638th prime number?
The 4638th prime number is 44623. The next prime is 44633 (a gap of 10) and the one before is 44621.
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 4638th one is 44623.
- 2
44623 is prime because no prime up to ā44623 ā 211.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4638th prime is close to 4638 Ć ln(4638) ā 39154, and here it is 44623.
- 4
44623 is a twin prime: 44621 and 44623 are both prime.
Primes around the 4638th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4635 | 44587 | 8 |
| 4636 | 44617 | 30 |
| 4637 | 44621 | 4 |
| 4638 | 44623 | 2 |
| 4639 | 44633 | 10 |
| 4640 | 44641 | 8 |
| 4641 | 44647 | 6 |
Questions
What is the 4638th prime number?
44623.
Which prime number is 44623?
44623 is the 4638th prime number.
What is the sum of the first 4638 primes?
97,575,365.