What is the 6428th prime number?
The 6428th prime number is 64171. The next prime is 64187 (a gap of 16) and the one before is 64157.
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 6428th one is 64171.
- 2
64171 is prime because no prime up to ā64171 ā 253.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6428th prime is close to 6428 Ć ln(6428) ā 56363, and here it is 64171.
- 4
64171 has no twin: neither 64169 nor 64173 is prime.
Primes around the 6428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6425 | 64151 | 28 |
| 6426 | 64153 | 2 |
| 6427 | 64157 | 4 |
| 6428 | 64171 | 14 |
| 6429 | 64187 | 16 |
| 6430 | 64189 | 2 |
| 6431 | 64217 | 28 |
Questions
What is the 6428th prime number?
64171.
Which prime number is 64171?
64171 is the 6428th prime number.
What is the sum of the first 6428 primes?
194,892,399.