What is the 4712th prime number?
The 4712th prime number is 45427. The next prime is 45433 (a gap of 6) and the one before is 45413.
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 4712th one is 45427.
- 2
45427 is prime because no prime up to ā45427 ā 213.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4712th prime is close to 4712 Ć ln(4712) ā 39853, and here it is 45427.
- 4
45427 has no twin: neither 45425 nor 45429 is prime.
Primes around the 4712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4709 | 45389 | 12 |
| 4710 | 45403 | 14 |
| 4711 | 45413 | 10 |
| 4712 | 45427 | 14 |
| 4713 | 45433 | 6 |
| 4714 | 45439 | 6 |
| 4715 | 45481 | 42 |
Questions
What is the 4712th prime number?
45427.
Which prime number is 45427?
45427 is the 4712th prime number.
What is the sum of the first 4712 primes?
100,906,905.