What is the 4832nd prime number?
The 4832nd prime number is 46757. The next prime is 46769 (a gap of 12) and the one before is 46751.
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 4832nd one is 46757.
- 2
46757 is prime because no prime up to ā46757 ā 216.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4832nd prime is close to 4832 Ć ln(4832) ā 40990, and here it is 46757.
- 4
46757 has no twin: neither 46755 nor 46759 is prime.
Primes around the 4832nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4829 | 46727 | 4 |
| 4830 | 46747 | 20 |
| 4831 | 46751 | 4 |
| 4832 | 46757 | 6 |
| 4833 | 46769 | 12 |
| 4834 | 46771 | 2 |
| 4835 | 46807 | 36 |
Questions
What is the 4832nd prime number?
46757.
Which prime number is 46757?
46757 is the 4832nd prime number.
What is the sum of the first 4832 primes?
106,441,217.