What is the 3860th prime number?
The 3860th prime number is 36383. The next prime is 36389 (a gap of 6) and the one before is 36373.
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 3860th one is 36383.
- 2
36383 is prime because no prime up to ā36383 ā 190.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3860th prime is close to 3860 Ć ln(3860) ā 31878, and here it is 36383.
- 4
36383 has no twin: neither 36381 nor 36385 is prime.
Primes around the 3860th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3857 | 36343 | 2 |
| 3858 | 36353 | 10 |
| 3859 | 36373 | 20 |
| 3860 | 36383 | 10 |
| 3861 | 36389 | 6 |
| 3862 | 36433 | 44 |
| 3863 | 36451 | 18 |
Questions
What is the 3860th prime number?
36383.
Which prime number is 36383?
36383 is the 3860th prime number.
What is the sum of the first 3860 primes?
66,073,987.