What is the 4732nd prime number?
The 4732nd prime number is 45667. The next prime is 45673 (a gap of 6) and the one before is 45659.
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 4732nd one is 45667.
- 2
45667 is prime because no prime up to ā45667 ā 213.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4732nd prime is close to 4732 Ć ln(4732) ā 40043, and here it is 45667.
- 4
45667 has no twin: neither 45665 nor 45669 is prime.
Primes around the 4732nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4729 | 45631 | 18 |
| 4730 | 45641 | 10 |
| 4731 | 45659 | 18 |
| 4732 | 45667 | 8 |
| 4733 | 45673 | 6 |
| 4734 | 45677 | 4 |
| 4735 | 45691 | 14 |
Questions
What is the 4732nd prime number?
45667.
Which prime number is 45667?
45667 is the 4732nd prime number.
What is the sum of the first 4732 primes?
101,818,011.