What is the 5428th prime number?
The 5428th prime number is 53197. The next prime is 53201 (a gap of 4) and the one before is 53189.
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 5428th one is 53197.
- 2
53197 is prime because no prime up to ā53197 ā 230.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5428th prime is close to 5428 Ć ln(5428) ā 46677, and here it is 53197.
- 4
53197 has no twin: neither 53195 nor 53199 is prime.
Primes around the 5428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5425 | 53171 | 10 |
| 5426 | 53173 | 2 |
| 5427 | 53189 | 16 |
| 5428 | 53197 | 8 |
| 5429 | 53201 | 4 |
| 5430 | 53231 | 30 |
| 5431 | 53233 | 2 |
Questions
What is the 5428th prime number?
53197.
Which prime number is 53197?
53197 is the 5428th prime number.
What is the sum of the first 5428 primes?
136,238,919.