What is the 4942nd prime number?
The 4942nd prime number is 47951. The next prime is 47963 (a gap of 12) and the one before is 47947.
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 4942nd one is 47951.
- 2
47951 is prime because no prime up to ā47951 ā 218.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4942nd prime is close to 4942 Ć ln(4942) ā 42034, and here it is 47951.
- 4
47951 has no twin: neither 47949 nor 47953 is prime.
Primes around the 4942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4939 | 47933 | 16 |
| 4940 | 47939 | 6 |
| 4941 | 47947 | 8 |
| 4942 | 47951 | 4 |
| 4943 | 47963 | 12 |
| 4944 | 47969 | 6 |
| 4945 | 47977 | 8 |
Questions
What is the 4942nd prime number?
47951.
Which prime number is 47951?
47951 is the 4942nd prime number.
What is the sum of the first 4942 primes?
111,653,753.