What is the 8341st prime number?
The 8341st prime number is 85703. The next prime is 85711 (a gap of 8) and the one before is 85691.
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 8341st one is 85703.
- 2
85703 is prime because no prime up to ā85703 ā 292.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8341st prime is close to 8341 Ć ln(8341) ā 75310, and here it is 85703.
- 4
85703 has no twin: neither 85701 nor 85705 is prime.
Primes around the 8341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8338 | 85667 | 6 |
| 8339 | 85669 | 2 |
| 8340 | 85691 | 22 |
| 8341 | 85703 | 12 |
| 8342 | 85711 | 8 |
| 8343 | 85717 | 6 |
| 8344 | 85733 | 16 |
Questions
What is the 8341st prime number?
85703.
Which prime number is 85703?
85703 is the 8341st prime number.
What is the sum of the first 8341 primes?
338,235,042.