What is the 4710th prime number?
The 4710th prime number is 45403. The next prime is 45413 (a gap of 10) and the one before is 45389.
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 4710th one is 45403.
- 2
45403 is prime because no prime up to ā45403 ā 213.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4710th prime is close to 4710 Ć ln(4710) ā 39835, and here it is 45403.
- 4
45403 has no twin: neither 45401 nor 45405 is prime.
Primes around the 4710th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4707 | 45361 | 18 |
| 4708 | 45377 | 16 |
| 4709 | 45389 | 12 |
| 4710 | 45403 | 14 |
| 4711 | 45413 | 10 |
| 4712 | 45427 | 14 |
| 4713 | 45433 | 6 |
Questions
What is the 4710th prime number?
45403.
Which prime number is 45403?
45403 is the 4710th prime number.
What is the sum of the first 4710 primes?
100,816,065.