What is the 6429th prime number?
The 6429th prime number is 64187. The next prime is 64189 (a gap of 2) and the one before is 64171.
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 6429th one is 64187.
- 2
64187 is prime because no prime up to ā64187 ā 253.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6429th prime is close to 6429 Ć ln(6429) ā 56373, and here it is 64187.
- 4
64187 is a twin prime: 64187 and 64189 are both prime.
Primes around the 6429th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6426 | 64153 | 2 |
| 6427 | 64157 | 4 |
| 6428 | 64171 | 14 |
| 6429 | 64187 | 16 |
| 6430 | 64189 | 2 |
| 6431 | 64217 | 28 |
| 6432 | 64223 | 6 |
Questions
What is the 6429th prime number?
64187.
Which prime number is 64187?
64187 is the 6429th prime number.
What is the sum of the first 6429 primes?
194,956,586.