What is the 3877th prime number?
The 3877th prime number is 36563. The next prime is 36571 (a gap of 8) and the one before is 36559.
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 3877th one is 36563.
- 2
36563 is prime because no prime up to ā36563 ā 191.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3877th prime is close to 3877 Ć ln(3877) ā 32035, and here it is 36563.
- 4
36563 has no twin: neither 36561 nor 36565 is prime.
Primes around the 3877th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3874 | 36541 | 12 |
| 3875 | 36551 | 10 |
| 3876 | 36559 | 8 |
| 3877 | 36563 | 4 |
| 3878 | 36571 | 8 |
| 3879 | 36583 | 12 |
| 3880 | 36587 | 4 |
Questions
What is the 3877th prime number?
36563.
Which prime number is 36563?
36563 is the 3877th prime number.
What is the sum of the first 3877 primes?
66,694,388.