What is the 4896th prime number?
The 4896th prime number is 47501. The next prime is 47507 (a gap of 6) and the one before is 47497.
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 4896th one is 47501.
- 2
47501 is prime because no prime up to ā47501 ā 217.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4896th prime is close to 4896 Ć ln(4896) ā 41597, and here it is 47501.
- 4
47501 has no twin: neither 47499 nor 47503 is prime.
Primes around the 4896th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4893 | 47459 | 18 |
| 4894 | 47491 | 32 |
| 4895 | 47497 | 6 |
| 4896 | 47501 | 4 |
| 4897 | 47507 | 6 |
| 4898 | 47513 | 6 |
| 4899 | 47521 | 8 |
Questions
What is the 4896th prime number?
47501.
Which prime number is 47501?
47501 is the 4896th prime number.
What is the sum of the first 4896 primes?
109,458,427.