What is the 4731st prime number?
The 4731st prime number is 45659. The next prime is 45667 (a gap of 8) and the one before is 45641.
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 4731st one is 45659.
- 2
45659 is prime because no prime up to ā45659 ā 213.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4731st prime is close to 4731 Ć ln(4731) ā 40033, and here it is 45659.
- 4
45659 has no twin: neither 45657 nor 45661 is prime.
Primes around the 4731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4728 | 45613 | 14 |
| 4729 | 45631 | 18 |
| 4730 | 45641 | 10 |
| 4731 | 45659 | 18 |
| 4732 | 45667 | 8 |
| 4733 | 45673 | 6 |
| 4734 | 45677 | 4 |
Questions
What is the 4731st prime number?
45659.
Which prime number is 45659?
45659 is the 4731st prime number.
What is the sum of the first 4731 primes?
101,772,344.