What is the 4707th prime number?
The 4707th prime number is 45361. The next prime is 45377 (a gap of 16) and the one before is 45343.
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 4707th one is 45361.
- 2
45361 is prime because no prime up to ā45361 ā 212.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4707th prime is close to 4707 Ć ln(4707) ā 39806, and here it is 45361.
- 4
45361 has no twin: neither 45359 nor 45363 is prime.
Primes around the 4707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4704 | 45337 | 8 |
| 4705 | 45341 | 4 |
| 4706 | 45343 | 2 |
| 4707 | 45361 | 18 |
| 4708 | 45377 | 16 |
| 4709 | 45389 | 12 |
| 4710 | 45403 | 14 |
Questions
What is the 4707th prime number?
45361.
Which prime number is 45361?
45361 is the 4707th prime number.
What is the sum of the first 4707 primes?
100,679,896.