What is the 5629th prime number?
The 5629th prime number is 55441. The next prime is 55457 (a gap of 16) and the one before is 55439.
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 5629th one is 55441.
- 2
55441 is prime because no prime up to ā55441 ā 235.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5629th prime is close to 5629 Ć ln(5629) ā 48610, and here it is 55441.
- 4
55441 is a twin prime: 55439 and 55441 are both prime.
Primes around the 5629th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5626 | 55399 | 18 |
| 5627 | 55411 | 12 |
| 5628 | 55439 | 28 |
| 5629 | 55441 | 2 |
| 5630 | 55457 | 16 |
| 5631 | 55469 | 12 |
| 5632 | 55487 | 18 |
Questions
What is the 5629th prime number?
55441.
Which prime number is 55441?
55441 is the 5629th prime number.
What is the sum of the first 5629 primes?
147,157,552.