What is the 8344th prime number?
The 8344th prime number is 85733. The next prime is 85751 (a gap of 18) and the one before is 85717.
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 8344th one is 85733.
- 2
85733 is prime because no prime up to ā85733 ā 292.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8344th prime is close to 8344 Ć ln(8344) ā 75340, and here it is 85733.
- 4
85733 has no twin: neither 85731 nor 85735 is prime.
Primes around the 8344th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8341 | 85703 | 12 |
| 8342 | 85711 | 8 |
| 8343 | 85717 | 6 |
| 8344 | 85733 | 16 |
| 8345 | 85751 | 18 |
| 8346 | 85781 | 30 |
| 8347 | 85793 | 12 |
Questions
What is the 8344th prime number?
85733.
Which prime number is 85733?
85733 is the 8344th prime number.
What is the sum of the first 8344 primes?
338,492,203.