What is the 3856th prime number?
The 3856th prime number is 36341. The next prime is 36343 (a gap of 2) and the one before is 36319.
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 3856th one is 36341.
- 2
36341 is prime because no prime up to ā36341 ā 190.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3856th prime is close to 3856 Ć ln(3856) ā 31840, and here it is 36341.
- 4
36341 is a twin prime: 36341 and 36343 are both prime.
Primes around the 3856th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3853 | 36307 | 8 |
| 3854 | 36313 | 6 |
| 3855 | 36319 | 6 |
| 3856 | 36341 | 22 |
| 3857 | 36343 | 2 |
| 3858 | 36353 | 10 |
| 3859 | 36373 | 20 |
Questions
What is the 3856th prime number?
36341.
Which prime number is 36341?
36341 is the 3856th prime number.
What is the sum of the first 3856 primes?
65,928,535.