What is the 4632nd prime number?
The 4632nd prime number is 44549. The next prime is 44563 (a gap of 14) and the one before is 44543.
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 4632nd one is 44549.
- 2
44549 is prime because no prime up to ā44549 ā 211.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4632nd prime is close to 4632 Ć ln(4632) ā 39098, and here it is 44549.
- 4
44549 has no twin: neither 44547 nor 44551 is prime.
Primes around the 4632nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4629 | 44533 | 2 |
| 4630 | 44537 | 4 |
| 4631 | 44543 | 6 |
| 4632 | 44549 | 6 |
| 4633 | 44563 | 14 |
| 4634 | 44579 | 16 |
| 4635 | 44587 | 8 |
Questions
What is the 4632nd prime number?
44549.
Which prime number is 44549?
44549 is the 4632nd prime number.
What is the sum of the first 4632 primes?
97,307,775.