What is the 3855th prime number?
The 3855th prime number is 36319. The next prime is 36341 (a gap of 22) and the one before is 36313.
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 3855th one is 36319.
- 2
36319 is prime because no prime up to ā36319 ā 190.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3855th prime is close to 3855 Ć ln(3855) ā 31831, and here it is 36319.
- 4
36319 has no twin: neither 36317 nor 36321 is prime.
Primes around the 3855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3852 | 36299 | 6 |
| 3853 | 36307 | 8 |
| 3854 | 36313 | 6 |
| 3855 | 36319 | 6 |
| 3856 | 36341 | 22 |
| 3857 | 36343 | 2 |
| 3858 | 36353 | 10 |
Questions
What is the 3855th prime number?
36319.
Which prime number is 36319?
36319 is the 3855th prime number.
What is the sum of the first 3855 primes?
65,892,194.