What is the 3858th prime number?
The 3858th prime number is 36353. The next prime is 36373 (a gap of 20) and the one before is 36343.
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 3858th one is 36353.
- 2
36353 is prime because no prime up to ā36353 ā 190.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3858th prime is close to 3858 Ć ln(3858) ā 31859, and here it is 36353.
- 4
36353 has no twin: neither 36351 nor 36355 is prime.
Primes around the 3858th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3855 | 36319 | 6 |
| 3856 | 36341 | 22 |
| 3857 | 36343 | 2 |
| 3858 | 36353 | 10 |
| 3859 | 36373 | 20 |
| 3860 | 36383 | 10 |
| 3861 | 36389 | 6 |
Questions
What is the 3858th prime number?
36353.
Which prime number is 36353?
36353 is the 3858th prime number.
What is the sum of the first 3858 primes?
66,001,231.