What is the 5532nd prime number?
The 5532nd prime number is 54377. The next prime is 54401 (a gap of 24) and the one before is 54371.
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 5532nd one is 54377.
- 2
54377 is prime because no prime up to ā54377 ā 233.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5532nd prime is close to 5532 Ć ln(5532) ā 47676, and here it is 54377.
- 4
54377 has no twin: neither 54375 nor 54379 is prime.
Primes around the 5532nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5529 | 54361 | 14 |
| 5530 | 54367 | 6 |
| 5531 | 54371 | 4 |
| 5532 | 54377 | 6 |
| 5533 | 54401 | 24 |
| 5534 | 54403 | 2 |
| 5535 | 54409 | 6 |
Questions
What is the 5532nd prime number?
54377.
Which prime number is 54377?
54377 is the 5532nd prime number.
What is the sum of the first 5532 primes?
141,833,351.