What is the 5632nd prime number?
The 5632nd prime number is 55487. The next prime is 55501 (a gap of 14) and the one before is 55469.
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 5632nd one is 55487.
- 2
55487 is prime because no prime up to ā55487 ā 235.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5632nd prime is close to 5632 Ć ln(5632) ā 48639, and here it is 55487.
- 4
55487 has no twin: neither 55485 nor 55489 is prime.
Primes around the 5632nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5629 | 55441 | 2 |
| 5630 | 55457 | 16 |
| 5631 | 55469 | 12 |
| 5632 | 55487 | 18 |
| 5633 | 55501 | 14 |
| 5634 | 55511 | 10 |
| 5635 | 55529 | 18 |
Questions
What is the 5632nd prime number?
55487.
Which prime number is 55487?
55487 is the 5632nd prime number.
What is the sum of the first 5632 primes?
147,323,965.