What is the 5627th prime number?
The 5627th prime number is 55411. The next prime is 55439 (a gap of 28) and the one before is 55399.
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 5627th one is 55411.
- 2
55411 is prime because no prime up to ā55411 ā 235.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5627th prime is close to 5627 Ć ln(5627) ā 48591, and here it is 55411.
- 4
55411 has no twin: neither 55409 nor 55413 is prime.
Primes around the 5627th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5624 | 55373 | 22 |
| 5625 | 55381 | 8 |
| 5626 | 55399 | 18 |
| 5627 | 55411 | 12 |
| 5628 | 55439 | 28 |
| 5629 | 55441 | 2 |
| 5630 | 55457 | 16 |
Questions
What is the 5627th prime number?
55411.
Which prime number is 55411?
55411 is the 5627th prime number.
What is the sum of the first 5627 primes?
147,046,672.