What is the 3857th prime number?
The 3857th prime number is 36343. The next prime is 36353 (a gap of 10) and the one before is 36341.
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 3857th one is 36343.
- 2
36343 is prime because no prime up to ā36343 ā 190.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3857th prime is close to 3857 Ć ln(3857) ā 31850, and here it is 36343.
- 4
36343 is a twin prime: 36341 and 36343 are both prime.
Primes around the 3857th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3854 | 36313 | 6 |
| 3855 | 36319 | 6 |
| 3856 | 36341 | 22 |
| 3857 | 36343 | 2 |
| 3858 | 36353 | 10 |
| 3859 | 36373 | 20 |
| 3860 | 36383 | 10 |
Questions
What is the 3857th prime number?
36343.
Which prime number is 36343?
36343 is the 3857th prime number.
What is the sum of the first 3857 primes?
65,964,878.