What is the 4897th prime number?
The 4897th prime number is 47507. The next prime is 47513 (a gap of 6) and the one before is 47501.
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 4897th one is 47507.
- 2
47507 is prime because no prime up to ā47507 ā 217.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4897th prime is close to 4897 Ć ln(4897) ā 41607, and here it is 47507.
- 4
47507 has no twin: neither 47505 nor 47509 is prime.
Primes around the 4897th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4894 | 47491 | 32 |
| 4895 | 47497 | 6 |
| 4896 | 47501 | 4 |
| 4897 | 47507 | 6 |
| 4898 | 47513 | 6 |
| 4899 | 47521 | 8 |
| 4900 | 47527 | 6 |
Questions
What is the 4897th prime number?
47507.
Which prime number is 47507?
47507 is the 4897th prime number.
What is the sum of the first 4897 primes?
109,505,934.