What is the 4708th prime number?
The 4708th prime number is 45377. The next prime is 45389 (a gap of 12) and the one before is 45361.
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 4708th one is 45377.
- 2
45377 is prime because no prime up to ā45377 ā 213.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4708th prime is close to 4708 Ć ln(4708) ā 39816, and here it is 45377.
- 4
45377 has no twin: neither 45375 nor 45379 is prime.
Primes around the 4708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4705 | 45341 | 4 |
| 4706 | 45343 | 2 |
| 4707 | 45361 | 18 |
| 4708 | 45377 | 16 |
| 4709 | 45389 | 12 |
| 4710 | 45403 | 14 |
| 4711 | 45413 | 10 |
Questions
What is the 4708th prime number?
45377.
Which prime number is 45377?
45377 is the 4708th prime number.
What is the sum of the first 4708 primes?
100,725,273.