What is the 4739th prime number?
The 4739th prime number is 45751. The next prime is 45757 (a gap of 6) and the one before is 45737.
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 4739th one is 45751.
- 2
45751 is prime because no prime up to ā45751 ā 213.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4739th prime is close to 4739 Ć ln(4739) ā 40109, and here it is 45751.
- 4
45751 has no twin: neither 45749 nor 45753 is prime.
Primes around the 4739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4736 | 45697 | 6 |
| 4737 | 45707 | 10 |
| 4738 | 45737 | 30 |
| 4739 | 45751 | 14 |
| 4740 | 45757 | 6 |
| 4741 | 45763 | 6 |
| 4742 | 45767 | 4 |
Questions
What is the 4739th prime number?
45751.
Which prime number is 45751?
45751 is the 4739th prime number.
What is the sum of the first 4739 primes?
102,137,944.