What is the 5631st prime number?
The 5631st prime number is 55469. The next prime is 55487 (a gap of 18) and the one before is 55457.
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 5631st one is 55469.
- 2
55469 is prime because no prime up to ā55469 ā 235.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5631st prime is close to 5631 Ć ln(5631) ā 48630, and here it is 55469.
- 4
55469 has no twin: neither 55467 nor 55471 is prime.
Primes around the 5631st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5628 | 55439 | 28 |
| 5629 | 55441 | 2 |
| 5630 | 55457 | 16 |
| 5631 | 55469 | 12 |
| 5632 | 55487 | 18 |
| 5633 | 55501 | 14 |
| 5634 | 55511 | 10 |
Questions
What is the 5631st prime number?
55469.
Which prime number is 55469?
55469 is the 5631st prime number.
What is the sum of the first 5631 primes?
147,268,478.