What is the 4945th prime number?
The 4945th prime number is 47977. The next prime is 47981 (a gap of 4) and the one before is 47969.
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 4945th one is 47977.
- 2
47977 is prime because no prime up to ā47977 ā 219.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4945th prime is close to 4945 Ć ln(4945) ā 42063, and here it is 47977.
- 4
47977 has no twin: neither 47975 nor 47979 is prime.
Primes around the 4945th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4942 | 47951 | 4 |
| 4943 | 47963 | 12 |
| 4944 | 47969 | 6 |
| 4945 | 47977 | 8 |
| 4946 | 47981 | 4 |
| 4947 | 48017 | 36 |
| 4948 | 48023 | 6 |
Questions
What is the 4945th prime number?
47977.
Which prime number is 47977?
47977 is the 4945th prime number.
What is the sum of the first 4945 primes?
111,797,662.