What is the 4740th prime number?
The 4740th prime number is 45757. The next prime is 45763 (a gap of 6) and the one before is 45751.
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 4740th one is 45757.
- 2
45757 is prime because no prime up to ā45757 ā 213.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4740th prime is close to 4740 Ć ln(4740) ā 40118, and here it is 45757.
- 4
45757 has no twin: neither 45755 nor 45759 is prime.
Primes around the 4740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4737 | 45707 | 10 |
| 4738 | 45737 | 30 |
| 4739 | 45751 | 14 |
| 4740 | 45757 | 6 |
| 4741 | 45763 | 6 |
| 4742 | 45767 | 4 |
| 4743 | 45779 | 12 |
Questions
What is the 4740th prime number?
45757.
Which prime number is 45757?
45757 is the 4740th prime number.
What is the sum of the first 4740 primes?
102,183,701.