What is the 4713th prime number?
The 4713th prime number is 45433. The next prime is 45439 (a gap of 6) and the one before is 45427.
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 4713th one is 45433.
- 2
45433 is prime because no prime up to ā45433 ā 213.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4713th prime is close to 4713 Ć ln(4713) ā 39863, and here it is 45433.
- 4
45433 has no twin: neither 45431 nor 45435 is prime.
Primes around the 4713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4710 | 45403 | 14 |
| 4711 | 45413 | 10 |
| 4712 | 45427 | 14 |
| 4713 | 45433 | 6 |
| 4714 | 45439 | 6 |
| 4715 | 45481 | 42 |
| 4716 | 45491 | 10 |
Questions
What is the 4713th prime number?
45433.
Which prime number is 45433?
45433 is the 4713th prime number.
What is the sum of the first 4713 primes?
100,952,338.