What is the 3879th prime number?
The 3879th prime number is 36583. The next prime is 36587 (a gap of 4) and the one before is 36571.
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 3879th one is 36583.
- 2
36583 is prime because no prime up to ā36583 ā 191.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3879th prime is close to 3879 Ć ln(3879) ā 32053, and here it is 36583.
- 4
36583 has no twin: neither 36581 nor 36585 is prime.
Primes around the 3879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3876 | 36559 | 8 |
| 3877 | 36563 | 4 |
| 3878 | 36571 | 8 |
| 3879 | 36583 | 12 |
| 3880 | 36587 | 4 |
| 3881 | 36599 | 12 |
| 3882 | 36607 | 8 |
Questions
What is the 3879th prime number?
36583.
Which prime number is 36583?
36583 is the 3879th prime number.
What is the sum of the first 3879 primes?
66,767,542.