What is the 3859th prime number?
The 3859th prime number is 36373. The next prime is 36383 (a gap of 10) and the one before is 36353.
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 3859th one is 36373.
- 2
36373 is prime because no prime up to ā36373 ā 190.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3859th prime is close to 3859 Ć ln(3859) ā 31868, and here it is 36373.
- 4
36373 has no twin: neither 36371 nor 36375 is prime.
Primes around the 3859th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3856 | 36341 | 22 |
| 3857 | 36343 | 2 |
| 3858 | 36353 | 10 |
| 3859 | 36373 | 20 |
| 3860 | 36383 | 10 |
| 3861 | 36389 | 6 |
| 3862 | 36433 | 44 |
Questions
What is the 3859th prime number?
36373.
Which prime number is 36373?
36373 is the 3859th prime number.
What is the sum of the first 3859 primes?
66,037,604.