What is the 8355th prime number?
The 8355th prime number is 85853. The next prime is 85889 (a gap of 36) and the one before is 85847.
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 8355th one is 85853.
- 2
85853 is prime because no prime up to ā85853 ā 293.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8355th prime is close to 8355 Ć ln(8355) ā 75451, and here it is 85853.
- 4
85853 has no twin: neither 85851 nor 85855 is prime.
Primes around the 8355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8352 | 85837 | 6 |
| 8353 | 85843 | 6 |
| 8354 | 85847 | 4 |
| 8355 | 85853 | 6 |
| 8356 | 85889 | 36 |
| 8357 | 85903 | 14 |
| 8358 | 85909 | 6 |
Questions
What is the 8355th prime number?
85853.
Which prime number is 85853?
85853 is the 8355th prime number.
What is the sum of the first 8355 primes?
339,436,204.