What is the 6426th prime number?
The 6426th prime number is 64153. The next prime is 64157 (a gap of 4) and the one before is 64151.
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 6426th one is 64153.
- 2
64153 is prime because no prime up to ā64153 ā 253.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6426th prime is close to 6426 Ć ln(6426) ā 56344, and here it is 64153.
- 4
64153 is a twin prime: 64151 and 64153 are both prime.
Primes around the 6426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6423 | 64109 | 18 |
| 6424 | 64123 | 14 |
| 6425 | 64151 | 28 |
| 6426 | 64153 | 2 |
| 6427 | 64157 | 4 |
| 6428 | 64171 | 14 |
| 6429 | 64187 | 16 |
Questions
What is the 6426th prime number?
64153.
Which prime number is 64153?
64153 is the 6426th prime number.
What is the sum of the first 6426 primes?
194,764,071.