What is the 8143rd prime number?
The 8143rd prime number is 83417. The next prime is 83423 (a gap of 6) and the one before is 83407.
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 8143rd one is 83417.
- 2
83417 is prime because no prime up to ā83417 ā 288.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8143rd prime is close to 8143 Ć ln(8143) ā 73327, and here it is 83417.
- 4
83417 has no twin: neither 83415 nor 83419 is prime.
Primes around the 8143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8140 | 83399 | 10 |
| 8141 | 83401 | 2 |
| 8142 | 83407 | 6 |
| 8143 | 83417 | 10 |
| 8144 | 83423 | 6 |
| 8145 | 83431 | 8 |
| 8146 | 83437 | 6 |
Questions
What is the 8143rd prime number?
83417.
Which prime number is 83417?
83417 is the 8143rd prime number.
What is the sum of the first 8143 primes?
321,488,382.