What is the 5628th prime number?
The 5628th prime number is 55439. The next prime is 55441 (a gap of 2) and the one before is 55411.
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 5628th one is 55439.
- 2
55439 is prime because no prime up to ā55439 ā 235.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5628th prime is close to 5628 Ć ln(5628) ā 48601, and here it is 55439.
- 4
55439 is a twin prime: 55439 and 55441 are both prime.
Primes around the 5628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5625 | 55381 | 8 |
| 5626 | 55399 | 18 |
| 5627 | 55411 | 12 |
| 5628 | 55439 | 28 |
| 5629 | 55441 | 2 |
| 5630 | 55457 | 16 |
| 5631 | 55469 | 12 |
Questions
What is the 5628th prime number?
55439.
Which prime number is 55439?
55439 is the 5628th prime number.
What is the sum of the first 5628 primes?
147,102,111.