What is the 4845th prime number?
The 4845th prime number is 46889. The next prime is 46901 (a gap of 12) and the one before is 46877.
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 4845th one is 46889.
- 2
46889 is prime because no prime up to ā46889 ā 216.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4845th prime is close to 4845 Ć ln(4845) ā 41113, and here it is 46889.
- 4
46889 has no twin: neither 46887 nor 46891 is prime.
Primes around the 4845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4842 | 46861 | 8 |
| 4843 | 46867 | 6 |
| 4844 | 46877 | 10 |
| 4845 | 46889 | 12 |
| 4846 | 46901 | 12 |
| 4847 | 46919 | 18 |
| 4848 | 46933 | 14 |
Questions
What is the 4845th prime number?
46889.
Which prime number is 46889?
46889 is the 4845th prime number.
What is the sum of the first 4845 primes?
107,050,018.