What is the 4735th prime number?
The 4735th prime number is 45691. The next prime is 45697 (a gap of 6) and the one before is 45677.
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 4735th one is 45691.
- 2
45691 is prime because no prime up to ā45691 ā 213.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4735th prime is close to 4735 Ć ln(4735) ā 40071, and here it is 45691.
- 4
45691 has no twin: neither 45689 nor 45693 is prime.
Primes around the 4735th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4732 | 45667 | 8 |
| 4733 | 45673 | 6 |
| 4734 | 45677 | 4 |
| 4735 | 45691 | 14 |
| 4736 | 45697 | 6 |
| 4737 | 45707 | 10 |
| 4738 | 45737 | 30 |
Questions
What is the 4735th prime number?
45691.
Which prime number is 45691?
45691 is the 4735th prime number.
What is the sum of the first 4735 primes?
101,955,052.