What is the 8145th prime number?
The 8145th prime number is 83431. The next prime is 83437 (a gap of 6) and the one before is 83423.
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 8145th one is 83431.
- 2
83431 is prime because no prime up to ā83431 ā 288.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8145th prime is close to 8145 Ć ln(8145) ā 73347, and here it is 83431.
- 4
83431 has no twin: neither 83429 nor 83433 is prime.
Primes around the 8145th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8142 | 83407 | 6 |
| 8143 | 83417 | 10 |
| 8144 | 83423 | 6 |
| 8145 | 83431 | 8 |
| 8146 | 83437 | 6 |
| 8147 | 83443 | 6 |
| 8148 | 83449 | 6 |
Questions
What is the 8145th prime number?
83431.
Which prime number is 83431?
83431 is the 8145th prime number.
What is the sum of the first 8145 primes?
321,655,236.