What is the 8483rd prime number?
The 8483rd prime number is 87383. The next prime is 87403 (a gap of 20) and the one before is 87359.
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 8483rd one is 87383.
- 2
87383 is prime because no prime up to ā87383 ā 295.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8483rd prime is close to 8483 Ć ln(8483) ā 76736, and here it is 87383.
- 4
87383 has no twin: neither 87381 nor 87385 is prime.
Primes around the 8483rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8480 | 87323 | 6 |
| 8481 | 87337 | 14 |
| 8482 | 87359 | 22 |
| 8483 | 87383 | 24 |
| 8484 | 87403 | 20 |
| 8485 | 87407 | 4 |
| 8486 | 87421 | 14 |
Questions
What is the 8483rd prime number?
87383.
Which prime number is 87383?
87383 is the 8483rd prime number.
What is the sum of the first 8483 primes?
350,525,022.