What is the 4700th prime number?
The 4700th prime number is 45307. The next prime is 45317 (a gap of 10) and the one before is 45293.
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 4700th one is 45307.
- 2
45307 is prime because no prime up to ā45307 ā 212.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4700th prime is close to 4700 Ć ln(4700) ā 39740, and here it is 45307.
- 4
45307 has no twin: neither 45305 nor 45309 is prime.
Primes around the 4700th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4697 | 45281 | 18 |
| 4698 | 45289 | 8 |
| 4699 | 45293 | 4 |
| 4700 | 45307 | 14 |
| 4701 | 45317 | 10 |
| 4702 | 45319 | 2 |
| 4703 | 45329 | 10 |
Questions
What is the 4700th prime number?
45307.
Which prime number is 45307?
45307 is the 4700th prime number.
What is the sum of the first 4700 primes?
100,362,549.