What is the 4737th prime number?
The 4737th prime number is 45707. The next prime is 45737 (a gap of 30) and the one before is 45697.
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 4737th one is 45707.
- 2
45707 is prime because no prime up to ā45707 ā 213.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4737th prime is close to 4737 Ć ln(4737) ā 40090, and here it is 45707.
- 4
45707 has no twin: neither 45705 nor 45709 is prime.
Primes around the 4737th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4734 | 45677 | 4 |
| 4735 | 45691 | 14 |
| 4736 | 45697 | 6 |
| 4737 | 45707 | 10 |
| 4738 | 45737 | 30 |
| 4739 | 45751 | 14 |
| 4740 | 45757 | 6 |
Questions
What is the 4737th prime number?
45707.
Which prime number is 45707?
45707 is the 4737th prime number.
What is the sum of the first 4737 primes?
102,046,456.