What is the 4626th prime number?
The 4626th prime number is 44507. The next prime is 44519 (a gap of 12) and the one before is 44501.
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 4626th one is 44507.
- 2
44507 is prime because no prime up to ā44507 ā 210.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4626th prime is close to 4626 Ć ln(4626) ā 39041, and here it is 44507.
- 4
44507 has no twin: neither 44505 nor 44509 is prime.
Primes around the 4626th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4623 | 44491 | 8 |
| 4624 | 44497 | 6 |
| 4625 | 44501 | 4 |
| 4626 | 44507 | 6 |
| 4627 | 44519 | 12 |
| 4628 | 44531 | 12 |
| 4629 | 44533 | 2 |
Questions
What is the 4626th prime number?
44507.
Which prime number is 44507?
44507 is the 4626th prime number.
What is the sum of the first 4626 primes?
97,040,563.