What is the 6425th prime number?
The 6425th prime number is 64151. The next prime is 64153 (a gap of 2) and the one before is 64123.
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 6425th one is 64151.
- 2
64151 is prime because no prime up to ā64151 ā 253.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6425th prime is close to 6425 Ć ln(6425) ā 56334, and here it is 64151.
- 4
64151 is a twin prime: 64151 and 64153 are both prime.
Primes around the 6425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6422 | 64091 | 10 |
| 6423 | 64109 | 18 |
| 6424 | 64123 | 14 |
| 6425 | 64151 | 28 |
| 6426 | 64153 | 2 |
| 6427 | 64157 | 4 |
| 6428 | 64171 | 14 |
Questions
What is the 6425th prime number?
64151.
Which prime number is 64151?
64151 is the 6425th prime number.
What is the sum of the first 6425 primes?
194,699,918.