What is the 4803rd prime number?
The 4803rd prime number is 46471. The next prime is 46477 (a gap of 6) and the one before is 46457.
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 4803rd one is 46471.
- 2
46471 is prime because no prime up to ā46471 ā 215.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4803rd prime is close to 4803 Ć ln(4803) ā 40715, and here it is 46471.
- 4
46471 has no twin: neither 46469 nor 46473 is prime.
Primes around the 4803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4800 | 46447 | 6 |
| 4801 | 46451 | 4 |
| 4802 | 46457 | 6 |
| 4803 | 46471 | 14 |
| 4804 | 46477 | 6 |
| 4805 | 46489 | 12 |
| 4806 | 46499 | 10 |
Questions
What is the 4803rd prime number?
46471.
Which prime number is 46471?
46471 is the 4803rd prime number.
What is the sum of the first 4803 primes?
105,089,190.