What is the 4728th prime number?
The 4728th prime number is 45613. The next prime is 45631 (a gap of 18) and the one before is 45599.
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 4728th one is 45613.
- 2
45613 is prime because no prime up to ā45613 ā 213.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4728th prime is close to 4728 Ć ln(4728) ā 40005, and here it is 45613.
- 4
45613 has no twin: neither 45611 nor 45615 is prime.
Primes around the 4728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4725 | 45587 | 18 |
| 4726 | 45589 | 2 |
| 4727 | 45599 | 10 |
| 4728 | 45613 | 14 |
| 4729 | 45631 | 18 |
| 4730 | 45641 | 10 |
| 4731 | 45659 | 18 |
Questions
What is the 4728th prime number?
45613.
Which prime number is 45613?
45613 is the 4728th prime number.
What is the sum of the first 4728 primes?
101,635,413.