What is the 4702nd prime number?
The 4702nd prime number is 45319. The next prime is 45329 (a gap of 10) and the one before is 45317.
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 4702nd one is 45319.
- 2
45319 is prime because no prime up to ā45319 ā 212.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4702nd prime is close to 4702 Ć ln(4702) ā 39759, and here it is 45319.
- 4
45319 is a twin prime: 45317 and 45319 are both prime.
Primes around the 4702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4699 | 45293 | 4 |
| 4700 | 45307 | 14 |
| 4701 | 45317 | 10 |
| 4702 | 45319 | 2 |
| 4703 | 45329 | 10 |
| 4704 | 45337 | 8 |
| 4705 | 45341 | 4 |
Questions
What is the 4702nd prime number?
45319.
Which prime number is 45319?
45319 is the 4702nd prime number.
What is the sum of the first 4702 primes?
100,453,185.