What is the 4944th prime number?
The 4944th prime number is 47969. The next prime is 47977 (a gap of 8) and the one before is 47963.
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 4944th one is 47969.
- 2
47969 is prime because no prime up to ā47969 ā 219.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4944th prime is close to 4944 Ć ln(4944) ā 42053, and here it is 47969.
- 4
47969 has no twin: neither 47967 nor 47971 is prime.
Primes around the 4944th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4941 | 47947 | 8 |
| 4942 | 47951 | 4 |
| 4943 | 47963 | 12 |
| 4944 | 47969 | 6 |
| 4945 | 47977 | 8 |
| 4946 | 47981 | 4 |
| 4947 | 48017 | 36 |
Questions
What is the 4944th prime number?
47969.
Which prime number is 47969?
47969 is the 4944th prime number.
What is the sum of the first 4944 primes?
111,749,685.