What is the 4711th prime number?
The 4711th prime number is 45413. The next prime is 45427 (a gap of 14) and the one before is 45403.
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 4711th one is 45413.
- 2
45413 is prime because no prime up to ā45413 ā 213.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4711th prime is close to 4711 Ć ln(4711) ā 39844, and here it is 45413.
- 4
45413 has no twin: neither 45411 nor 45415 is prime.
Primes around the 4711th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4708 | 45377 | 16 |
| 4709 | 45389 | 12 |
| 4710 | 45403 | 14 |
| 4711 | 45413 | 10 |
| 4712 | 45427 | 14 |
| 4713 | 45433 | 6 |
| 4714 | 45439 | 6 |
Questions
What is the 4711th prime number?
45413.
Which prime number is 45413?
45413 is the 4711th prime number.
What is the sum of the first 4711 primes?
100,861,478.