What is the 5531st prime number?
The 5531st prime number is 54371. The next prime is 54377 (a gap of 6) and the one before is 54367.
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 5531st one is 54371.
- 2
54371 is prime because no prime up to ā54371 ā 233.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5531st prime is close to 5531 Ć ln(5531) ā 47667, and here it is 54371.
- 4
54371 has no twin: neither 54369 nor 54373 is prime.
Primes around the 5531st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5528 | 54347 | 16 |
| 5529 | 54361 | 14 |
| 5530 | 54367 | 6 |
| 5531 | 54371 | 4 |
| 5532 | 54377 | 6 |
| 5533 | 54401 | 24 |
| 5534 | 54403 | 2 |
Questions
What is the 5531st prime number?
54371.
Which prime number is 54371?
54371 is the 5531st prime number.
What is the sum of the first 5531 primes?
141,778,974.