What is the 4893rd prime number?
The 4893rd prime number is 47459. The next prime is 47491 (a gap of 32) and the one before is 47441.
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 4893rd one is 47459.
- 2
47459 is prime because no prime up to ā47459 ā 217.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4893rd prime is close to 4893 Ć ln(4893) ā 41569, and here it is 47459.
- 4
47459 has no twin: neither 47457 nor 47461 is prime.
Primes around the 4893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4890 | 47419 | 2 |
| 4891 | 47431 | 12 |
| 4892 | 47441 | 10 |
| 4893 | 47459 | 18 |
| 4894 | 47491 | 32 |
| 4895 | 47497 | 6 |
| 4896 | 47501 | 4 |
Questions
What is the 4893rd prime number?
47459.
Which prime number is 47459?
47459 is the 4893rd prime number.
What is the sum of the first 4893 primes?
109,315,938.