What is the 4627th prime number?
The 4627th prime number is 44519. The next prime is 44531 (a gap of 12) and the one before is 44507.
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 4627th one is 44519.
- 2
44519 is prime because no prime up to ā44519 ā 211.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4627th prime is close to 4627 Ć ln(4627) ā 39050, and here it is 44519.
- 4
44519 has no twin: neither 44517 nor 44521 is prime.
Primes around the 4627th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4624 | 44497 | 6 |
| 4625 | 44501 | 4 |
| 4626 | 44507 | 6 |
| 4627 | 44519 | 12 |
| 4628 | 44531 | 12 |
| 4629 | 44533 | 2 |
| 4630 | 44537 | 4 |
Questions
What is the 4627th prime number?
44519.
Which prime number is 44519?
44519 is the 4627th prime number.
What is the sum of the first 4627 primes?
97,085,082.