What is the 4894th prime number?
The 4894th prime number is 47491. The next prime is 47497 (a gap of 6) and the one before is 47459.
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 4894th one is 47491.
- 2
47491 is prime because no prime up to ā47491 ā 217.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4894th prime is close to 4894 Ć ln(4894) ā 41578, and here it is 47491.
- 4
47491 has no twin: neither 47489 nor 47493 is prime.
Primes around the 4894th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4891 | 47431 | 12 |
| 4892 | 47441 | 10 |
| 4893 | 47459 | 18 |
| 4894 | 47491 | 32 |
| 4895 | 47497 | 6 |
| 4896 | 47501 | 4 |
| 4897 | 47507 | 6 |
Questions
What is the 4894th prime number?
47491.
Which prime number is 47491?
47491 is the 4894th prime number.
What is the sum of the first 4894 primes?
109,363,429.