What is the 4714th prime number?
The 4714th prime number is 45439. The next prime is 45481 (a gap of 42) and the one before is 45433.
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 4714th one is 45439.
- 2
45439 is prime because no prime up to ā45439 ā 213.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4714th prime is close to 4714 Ć ln(4714) ā 39872, and here it is 45439.
- 4
45439 has no twin: neither 45437 nor 45441 is prime.
Primes around the 4714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4711 | 45413 | 10 |
| 4712 | 45427 | 14 |
| 4713 | 45433 | 6 |
| 4714 | 45439 | 6 |
| 4715 | 45481 | 42 |
| 4716 | 45491 | 10 |
| 4717 | 45497 | 6 |
Questions
What is the 4714th prime number?
45439.
Which prime number is 45439?
45439 is the 4714th prime number.
What is the sum of the first 4714 primes?
100,997,777.