What is the 4936th prime number?
The 4936th prime number is 47903. The next prime is 47911 (a gap of 8) and the one before is 47881.
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 4936th one is 47903.
- 2
47903 is prime because no prime up to ā47903 ā 218.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4936th prime is close to 4936 Ć ln(4936) ā 41977, and here it is 47903.
- 4
47903 has no twin: neither 47901 nor 47905 is prime.
Primes around the 4936th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4933 | 47857 | 14 |
| 4934 | 47869 | 12 |
| 4935 | 47881 | 12 |
| 4936 | 47903 | 22 |
| 4937 | 47911 | 8 |
| 4938 | 47917 | 6 |
| 4939 | 47933 | 16 |
Questions
What is the 4936th prime number?
47903.
Which prime number is 47903?
47903 is the 4936th prime number.
What is the sum of the first 4936 primes?
111,366,155.