What is the 4805th prime number?
The 4805th prime number is 46489. The next prime is 46499 (a gap of 10) and the one before is 46477.
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 4805th one is 46489.
- 2
46489 is prime because no prime up to ā46489 ā 215.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4805th prime is close to 4805 Ć ln(4805) ā 40734, and here it is 46489.
- 4
46489 has no twin: neither 46487 nor 46491 is prime.
Primes around the 4805th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4802 | 46457 | 6 |
| 4803 | 46471 | 14 |
| 4804 | 46477 | 6 |
| 4805 | 46489 | 12 |
| 4806 | 46499 | 10 |
| 4807 | 46507 | 8 |
| 4808 | 46511 | 4 |
Questions
What is the 4805th prime number?
46489.
Which prime number is 46489?
46489 is the 4805th prime number.
What is the sum of the first 4805 primes?
105,182,156.