What is the 4628th prime number?
The 4628th prime number is 44531. The next prime is 44533 (a gap of 2) and the one before is 44519.
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 4628th one is 44531.
- 2
44531 is prime because no prime up to ā44531 ā 211.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4628th prime is close to 4628 Ć ln(4628) ā 39060, and here it is 44531.
- 4
44531 is a twin prime: 44531 and 44533 are both prime.
Primes around the 4628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4625 | 44501 | 4 |
| 4626 | 44507 | 6 |
| 4627 | 44519 | 12 |
| 4628 | 44531 | 12 |
| 4629 | 44533 | 2 |
| 4630 | 44537 | 4 |
| 4631 | 44543 | 6 |
Questions
What is the 4628th prime number?
44531.
Which prime number is 44531?
44531 is the 4628th prime number.
What is the sum of the first 4628 primes?
97,129,613.