What is the 4889th prime number?
The 4889th prime number is 47417. The next prime is 47419 (a gap of 2) and the one before is 47407.
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 4889th one is 47417.
- 2
47417 is prime because no prime up to ā47417 ā 217.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4889th prime is close to 4889 Ć ln(4889) ā 41531, and here it is 47417.
- 4
47417 is a twin prime: 47417 and 47419 are both prime.
Primes around the 4889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4886 | 47387 | 6 |
| 4887 | 47389 | 2 |
| 4888 | 47407 | 18 |
| 4889 | 47417 | 10 |
| 4890 | 47419 | 2 |
| 4891 | 47431 | 12 |
| 4892 | 47441 | 10 |
Questions
What is the 4889th prime number?
47417.
Which prime number is 47417?
47417 is the 4889th prime number.
What is the sum of the first 4889 primes?
109,126,188.