What is the 4727th prime number?
The 4727th prime number is 45599. The next prime is 45613 (a gap of 14) and the one before is 45589.
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 4727th one is 45599.
- 2
45599 is prime because no prime up to ā45599 ā 213.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4727th prime is close to 4727 Ć ln(4727) ā 39995, and here it is 45599.
- 4
45599 has no twin: neither 45597 nor 45601 is prime.
Primes around the 4727th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4724 | 45569 | 12 |
| 4725 | 45587 | 18 |
| 4726 | 45589 | 2 |
| 4727 | 45599 | 10 |
| 4728 | 45613 | 14 |
| 4729 | 45631 | 18 |
| 4730 | 45641 | 10 |
Questions
What is the 4727th prime number?
45599.
Which prime number is 45599?
45599 is the 4727th prime number.
What is the sum of the first 4727 primes?
101,589,800.