What is the 4724th prime number?
The 4724th prime number is 45569. The next prime is 45587 (a gap of 18) and the one before is 45557.
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 4724th one is 45569.
- 2
45569 is prime because no prime up to ā45569 ā 213.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4724th prime is close to 4724 Ć ln(4724) ā 39967, and here it is 45569.
- 4
45569 has no twin: neither 45567 nor 45571 is prime.
Primes around the 4724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4721 | 45541 | 8 |
| 4722 | 45553 | 12 |
| 4723 | 45557 | 4 |
| 4724 | 45569 | 12 |
| 4725 | 45587 | 18 |
| 4726 | 45589 | 2 |
| 4727 | 45599 | 10 |
Questions
What is the 4724th prime number?
45569.
Which prime number is 45569?
45569 is the 4724th prime number.
What is the sum of the first 4724 primes?
101,453,025.