What is the 3887th prime number?
The 3887th prime number is 36671. The next prime is 36677 (a gap of 6) and the one before is 36653.
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 3887th one is 36671.
- 2
36671 is prime because no prime up to ā36671 ā 191.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3887th prime is close to 3887 Ć ln(3887) ā 32128, and here it is 36671.
- 4
36671 has no twin: neither 36669 nor 36673 is prime.
Primes around the 3887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3884 | 36637 | 8 |
| 3885 | 36643 | 6 |
| 3886 | 36653 | 10 |
| 3887 | 36671 | 18 |
| 3888 | 36677 | 6 |
| 3889 | 36683 | 6 |
| 3890 | 36691 | 8 |
Questions
What is the 3887th prime number?
36671.
Which prime number is 36671?
36671 is the 3887th prime number.
What is the sum of the first 3887 primes?
67,060,568.