What is the 4801st prime number?
The 4801st prime number is 46451. The next prime is 46457 (a gap of 6) and the one before is 46447.
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 4801st one is 46451.
- 2
46451 is prime because no prime up to ā46451 ā 215.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4801st prime is close to 4801 Ć ln(4801) ā 40696, and here it is 46451.
- 4
46451 has no twin: neither 46449 nor 46453 is prime.
Primes around the 4801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4798 | 46439 | 28 |
| 4799 | 46441 | 2 |
| 4800 | 46447 | 6 |
| 4801 | 46451 | 4 |
| 4802 | 46457 | 6 |
| 4803 | 46471 | 14 |
| 4804 | 46477 | 6 |
Questions
What is the 4801st prime number?
46451.
Which prime number is 46451?
46451 is the 4801st prime number.
What is the sum of the first 4801 primes?
104,996,262.