What is the 4730th prime number?
The 4730th prime number is 45641. The next prime is 45659 (a gap of 18) and the one before is 45631.
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 4730th one is 45641.
- 2
45641 is prime because no prime up to ā45641 ā 213.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4730th prime is close to 4730 Ć ln(4730) ā 40024, and here it is 45641.
- 4
45641 has no twin: neither 45639 nor 45643 is prime.
Primes around the 4730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4727 | 45599 | 10 |
| 4728 | 45613 | 14 |
| 4729 | 45631 | 18 |
| 4730 | 45641 | 10 |
| 4731 | 45659 | 18 |
| 4732 | 45667 | 8 |
| 4733 | 45673 | 6 |
Questions
What is the 4730th prime number?
45641.
Which prime number is 45641?
45641 is the 4730th prime number.
What is the sum of the first 4730 primes?
101,726,685.