What is the 4895th prime number?
The 4895th prime number is 47497. The next prime is 47501 (a gap of 4) and the one before is 47491.
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 4895th one is 47497.
- 2
47497 is prime because no prime up to ā47497 ā 217.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4895th prime is close to 4895 Ć ln(4895) ā 41588, and here it is 47497.
- 4
47497 has no twin: neither 47495 nor 47499 is prime.
Primes around the 4895th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4892 | 47441 | 10 |
| 4893 | 47459 | 18 |
| 4894 | 47491 | 32 |
| 4895 | 47497 | 6 |
| 4896 | 47501 | 4 |
| 4897 | 47507 | 6 |
| 4898 | 47513 | 6 |
Questions
What is the 4895th prime number?
47497.
Which prime number is 47497?
47497 is the 4895th prime number.
What is the sum of the first 4895 primes?
109,410,926.