What is the 4709th prime number?
The 4709th prime number is 45389. The next prime is 45403 (a gap of 14) and the one before is 45377.
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 4709th one is 45389.
- 2
45389 is prime because no prime up to ā45389 ā 213.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4709th prime is close to 4709 Ć ln(4709) ā 39825, and here it is 45389.
- 4
45389 has no twin: neither 45387 nor 45391 is prime.
Primes around the 4709th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4706 | 45343 | 2 |
| 4707 | 45361 | 18 |
| 4708 | 45377 | 16 |
| 4709 | 45389 | 12 |
| 4710 | 45403 | 14 |
| 4711 | 45413 | 10 |
| 4712 | 45427 | 14 |
Questions
What is the 4709th prime number?
45389.
Which prime number is 45389?
45389 is the 4709th prime number.
What is the sum of the first 4709 primes?
100,770,662.