What is the 4734th prime number?
The 4734th prime number is 45677. The next prime is 45691 (a gap of 14) and the one before is 45673.
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 4734th one is 45677.
- 2
45677 is prime because no prime up to ā45677 ā 213.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4734th prime is close to 4734 Ć ln(4734) ā 40062, and here it is 45677.
- 4
45677 has no twin: neither 45675 nor 45679 is prime.
Primes around the 4734th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4731 | 45659 | 18 |
| 4732 | 45667 | 8 |
| 4733 | 45673 | 6 |
| 4734 | 45677 | 4 |
| 4735 | 45691 | 14 |
| 4736 | 45697 | 6 |
| 4737 | 45707 | 10 |
Questions
What is the 4734th prime number?
45677.
Which prime number is 45677?
45677 is the 4734th prime number.
What is the sum of the first 4734 primes?
101,909,361.