What is the 4720th prime number?
The 4720th prime number is 45533. The next prime is 45541 (a gap of 8) and the one before is 45523.
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 4720th one is 45533.
- 2
45533 is prime because no prime up to ā45533 ā 213.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4720th prime is close to 4720 Ć ln(4720) ā 39929, and here it is 45533.
- 4
45533 has no twin: neither 45531 nor 45535 is prime.
Primes around the 4720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4717 | 45497 | 6 |
| 4718 | 45503 | 6 |
| 4719 | 45523 | 20 |
| 4720 | 45533 | 10 |
| 4721 | 45541 | 8 |
| 4722 | 45553 | 12 |
| 4723 | 45557 | 4 |
Questions
What is the 4720th prime number?
45533.
Which prime number is 45533?
45533 is the 4720th prime number.
What is the sum of the first 4720 primes?
101,270,805.