What is the 3861st prime number?
The 3861st prime number is 36389. The next prime is 36433 (a gap of 44) and the one before is 36383.
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 3861st one is 36389.
- 2
36389 is prime because no prime up to ā36389 ā 190.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3861st prime is close to 3861 Ć ln(3861) ā 31887, and here it is 36389.
- 4
36389 has no twin: neither 36387 nor 36391 is prime.
Primes around the 3861st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3858 | 36353 | 10 |
| 3859 | 36373 | 20 |
| 3860 | 36383 | 10 |
| 3861 | 36389 | 6 |
| 3862 | 36433 | 44 |
| 3863 | 36451 | 18 |
| 3864 | 36457 | 6 |
Questions
What is the 3861st prime number?
36389.
Which prime number is 36389?
36389 is the 3861st prime number.
What is the sum of the first 3861 primes?
66,110,376.