What is the 4802nd prime number?
The 4802nd prime number is 46457. The next prime is 46471 (a gap of 14) and the one before is 46451.
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 4802nd one is 46457.
- 2
46457 is prime because no prime up to ā46457 ā 215.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4802nd prime is close to 4802 Ć ln(4802) ā 40706, and here it is 46457.
- 4
46457 has no twin: neither 46455 nor 46459 is prime.
Primes around the 4802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4799 | 46441 | 2 |
| 4800 | 46447 | 6 |
| 4801 | 46451 | 4 |
| 4802 | 46457 | 6 |
| 4803 | 46471 | 14 |
| 4804 | 46477 | 6 |
| 4805 | 46489 | 12 |
Questions
What is the 4802nd prime number?
46457.
Which prime number is 46457?
46457 is the 4802nd prime number.
What is the sum of the first 4802 primes?
105,042,719.