What is the 4738th prime number?
The 4738th prime number is 45737. The next prime is 45751 (a gap of 14) and the one before is 45707.
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 4738th one is 45737.
- 2
45737 is prime because no prime up to ā45737 ā 213.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4738th prime is close to 4738 Ć ln(4738) ā 40099, and here it is 45737.
- 4
45737 has no twin: neither 45735 nor 45739 is prime.
Primes around the 4738th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4735 | 45691 | 14 |
| 4736 | 45697 | 6 |
| 4737 | 45707 | 10 |
| 4738 | 45737 | 30 |
| 4739 | 45751 | 14 |
| 4740 | 45757 | 6 |
| 4741 | 45763 | 6 |
Questions
What is the 4738th prime number?
45737.
Which prime number is 45737?
45737 is the 4738th prime number.
What is the sum of the first 4738 primes?
102,092,193.