What is the 4706th prime number?
The 4706th prime number is 45343. The next prime is 45361 (a gap of 18) and the one before is 45341.
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 4706th one is 45343.
- 2
45343 is prime because no prime up to ā45343 ā 212.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4706th prime is close to 4706 Ć ln(4706) ā 39797, and here it is 45343.
- 4
45343 is a twin prime: 45341 and 45343 are both prime.
Primes around the 4706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4703 | 45329 | 10 |
| 4704 | 45337 | 8 |
| 4705 | 45341 | 4 |
| 4706 | 45343 | 2 |
| 4707 | 45361 | 18 |
| 4708 | 45377 | 16 |
| 4709 | 45389 | 12 |
Questions
What is the 4706th prime number?
45343.
Which prime number is 45343?
45343 is the 4706th prime number.
What is the sum of the first 4706 primes?
100,634,535.