What is the 3881st prime number?
The 3881st prime number is 36599. The next prime is 36607 (a gap of 8) and the one before is 36587.
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 3881st one is 36599.
- 2
36599 is prime because no prime up to ā36599 ā 191.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3881st prime is close to 3881 Ć ln(3881) ā 32072, and here it is 36599.
- 4
36599 has no twin: neither 36597 nor 36601 is prime.
Primes around the 3881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3878 | 36571 | 8 |
| 3879 | 36583 | 12 |
| 3880 | 36587 | 4 |
| 3881 | 36599 | 12 |
| 3882 | 36607 | 8 |
| 3883 | 36629 | 22 |
| 3884 | 36637 | 8 |
Questions
What is the 3881st prime number?
36599.
Which prime number is 36599?
36599 is the 3881st prime number.
What is the sum of the first 3881 primes?
66,840,728.