What is the 5427th prime number?
The 5427th prime number is 53189. The next prime is 53197 (a gap of 8) and the one before is 53173.
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 5427th one is 53189.
- 2
53189 is prime because no prime up to ā53189 ā 230.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5427th prime is close to 5427 Ć ln(5427) ā 46668, and here it is 53189.
- 4
53189 has no twin: neither 53187 nor 53191 is prime.
Primes around the 5427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5424 | 53161 | 12 |
| 5425 | 53171 | 10 |
| 5426 | 53173 | 2 |
| 5427 | 53189 | 16 |
| 5428 | 53197 | 8 |
| 5429 | 53201 | 4 |
| 5430 | 53231 | 30 |
Questions
What is the 5427th prime number?
53189.
Which prime number is 53189?
53189 is the 5427th prime number.
What is the sum of the first 5427 primes?
136,185,722.