What is the 4890th prime number?
The 4890th prime number is 47419. The next prime is 47431 (a gap of 12) and the one before is 47417.
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 4890th one is 47419.
- 2
47419 is prime because no prime up to ā47419 ā 217.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4890th prime is close to 4890 Ć ln(4890) ā 41540, and here it is 47419.
- 4
47419 is a twin prime: 47417 and 47419 are both prime.
Primes around the 4890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4887 | 47389 | 2 |
| 4888 | 47407 | 18 |
| 4889 | 47417 | 10 |
| 4890 | 47419 | 2 |
| 4891 | 47431 | 12 |
| 4892 | 47441 | 10 |
| 4893 | 47459 | 18 |
Questions
What is the 4890th prime number?
47419.
Which prime number is 47419?
47419 is the 4890th prime number.
What is the sum of the first 4890 primes?
109,173,607.