What is the 4935th prime number?
The 4935th prime number is 47881. The next prime is 47903 (a gap of 22) and the one before is 47869.
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 4935th one is 47881.
- 2
47881 is prime because no prime up to ā47881 ā 218.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4935th prime is close to 4935 Ć ln(4935) ā 41968, and here it is 47881.
- 4
47881 has no twin: neither 47879 nor 47883 is prime.
Primes around the 4935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4932 | 47843 | 6 |
| 4933 | 47857 | 14 |
| 4934 | 47869 | 12 |
| 4935 | 47881 | 12 |
| 4936 | 47903 | 22 |
| 4937 | 47911 | 8 |
| 4938 | 47917 | 6 |
Questions
What is the 4935th prime number?
47881.
Which prime number is 47881?
47881 is the 4935th prime number.
What is the sum of the first 4935 primes?
111,318,252.