What is the 6427th prime number?
The 6427th prime number is 64157. The next prime is 64171 (a gap of 14) and the one before is 64153.
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 6427th one is 64157.
- 2
64157 is prime because no prime up to ā64157 ā 253.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6427th prime is close to 6427 Ć ln(6427) ā 56354, and here it is 64157.
- 4
64157 has no twin: neither 64155 nor 64159 is prime.
Primes around the 6427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6424 | 64123 | 14 |
| 6425 | 64151 | 28 |
| 6426 | 64153 | 2 |
| 6427 | 64157 | 4 |
| 6428 | 64171 | 14 |
| 6429 | 64187 | 16 |
| 6430 | 64189 | 2 |
Questions
What is the 6427th prime number?
64157.
Which prime number is 64157?
64157 is the 6427th prime number.
What is the sum of the first 6427 primes?
194,828,228.