What is the 4703rd prime number?
The 4703rd prime number is 45329. The next prime is 45337 (a gap of 8) and the one before is 45319.
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 4703rd one is 45329.
- 2
45329 is prime because no prime up to ā45329 ā 212.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4703rd prime is close to 4703 Ć ln(4703) ā 39768, and here it is 45329.
- 4
45329 has no twin: neither 45327 nor 45331 is prime.
Primes around the 4703rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4700 | 45307 | 14 |
| 4701 | 45317 | 10 |
| 4702 | 45319 | 2 |
| 4703 | 45329 | 10 |
| 4704 | 45337 | 8 |
| 4705 | 45341 | 4 |
| 4706 | 45343 | 2 |
Questions
What is the 4703rd prime number?
45329.
Which prime number is 45329?
45329 is the 4703rd prime number.
What is the sum of the first 4703 primes?
100,498,514.