What is the 4946th prime number?
The 4946th prime number is 47981. The next prime is 48017 (a gap of 36) and the one before is 47977.
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 4946th one is 47981.
- 2
47981 is prime because no prime up to ā47981 ā 219.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4946th prime is close to 4946 Ć ln(4946) ā 42072, and here it is 47981.
- 4
47981 has no twin: neither 47979 nor 47983 is prime.
Primes around the 4946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4943 | 47963 | 12 |
| 4944 | 47969 | 6 |
| 4945 | 47977 | 8 |
| 4946 | 47981 | 4 |
| 4947 | 48017 | 36 |
| 4948 | 48023 | 6 |
| 4949 | 48029 | 6 |
Questions
What is the 4946th prime number?
47981.
Which prime number is 47981?
47981 is the 4946th prime number.
What is the sum of the first 4946 primes?
111,845,643.