What is the 4629th prime number?
The 4629th prime number is 44533. The next prime is 44537 (a gap of 4) and the one before is 44531.
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 4629th one is 44533.
- 2
44533 is prime because no prime up to ā44533 ā 211.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4629th prime is close to 4629 Ć ln(4629) ā 39069, and here it is 44533.
- 4
44533 is a twin prime: 44531 and 44533 are both prime.
Primes around the 4629th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4626 | 44507 | 6 |
| 4627 | 44519 | 12 |
| 4628 | 44531 | 12 |
| 4629 | 44533 | 2 |
| 4630 | 44537 | 4 |
| 4631 | 44543 | 6 |
| 4632 | 44549 | 6 |
Questions
What is the 4629th prime number?
44533.
Which prime number is 44533?
44533 is the 4629th prime number.
What is the sum of the first 4629 primes?
97,174,146.