What is the 4846th prime number?
The 4846th prime number is 46901. The next prime is 46919 (a gap of 18) and the one before is 46889.
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 4846th one is 46901.
- 2
46901 is prime because no prime up to ā46901 ā 216.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4846th prime is close to 4846 Ć ln(4846) ā 41123, and here it is 46901.
- 4
46901 has no twin: neither 46899 nor 46903 is prime.
Primes around the 4846th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4843 | 46867 | 6 |
| 4844 | 46877 | 10 |
| 4845 | 46889 | 12 |
| 4846 | 46901 | 12 |
| 4847 | 46919 | 18 |
| 4848 | 46933 | 14 |
| 4849 | 46957 | 24 |
Questions
What is the 4846th prime number?
46901.
Which prime number is 46901?
46901 is the 4846th prime number.
What is the sum of the first 4846 primes?
107,096,919.