What is the 8144th prime number?
The 8144th prime number is 83423. The next prime is 83431 (a gap of 8) and the one before is 83417.
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 8144th one is 83423.
- 2
83423 is prime because no prime up to ā83423 ā 288.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8144th prime is close to 8144 Ć ln(8144) ā 73337, and here it is 83423.
- 4
83423 has no twin: neither 83421 nor 83425 is prime.
Primes around the 8144th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8141 | 83401 | 2 |
| 8142 | 83407 | 6 |
| 8143 | 83417 | 10 |
| 8144 | 83423 | 6 |
| 8145 | 83431 | 8 |
| 8146 | 83437 | 6 |
| 8147 | 83443 | 6 |
Questions
What is the 8144th prime number?
83423.
Which prime number is 83423?
83423 is the 8144th prime number.
What is the sum of the first 8144 primes?
321,571,805.