What is the 4705th prime number?
The 4705th prime number is 45341. The next prime is 45343 (a gap of 2) and the one before is 45337.
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 4705th one is 45341.
- 2
45341 is prime because no prime up to ā45341 ā 212.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4705th prime is close to 4705 Ć ln(4705) ā 39787, and here it is 45341.
- 4
45341 is a twin prime: 45341 and 45343 are both prime.
Primes around the 4705th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4702 | 45319 | 2 |
| 4703 | 45329 | 10 |
| 4704 | 45337 | 8 |
| 4705 | 45341 | 4 |
| 4706 | 45343 | 2 |
| 4707 | 45361 | 18 |
| 4708 | 45377 | 16 |
Questions
What is the 4705th prime number?
45341.
Which prime number is 45341?
45341 is the 4705th prime number.
What is the sum of the first 4705 primes?
100,589,192.