What is the 4800th prime number?
The 4800th prime number is 46447. The next prime is 46451 (a gap of 4) and the one before is 46441.
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 4800th one is 46447.
- 2
46447 is prime because no prime up to ā46447 ā 215.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4800th prime is close to 4800 Ć ln(4800) ā 40687, and here it is 46447.
- 4
46447 has no twin: neither 46445 nor 46449 is prime.
Primes around the 4800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4797 | 46411 | 12 |
| 4798 | 46439 | 28 |
| 4799 | 46441 | 2 |
| 4800 | 46447 | 6 |
| 4801 | 46451 | 4 |
| 4802 | 46457 | 6 |
| 4803 | 46471 | 14 |
Questions
What is the 4800th prime number?
46447.
Which prime number is 46447?
46447 is the 4800th prime number.
What is the sum of the first 4800 primes?
104,949,811.