What is the 3889th prime number?
The 3889th prime number is 36683. The next prime is 36691 (a gap of 8) and the one before is 36677.
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 3889th one is 36683.
- 2
36683 is prime because no prime up to ā36683 ā 191.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3889th prime is close to 3889 Ć ln(3889) ā 32146, and here it is 36683.
- 4
36683 has no twin: neither 36681 nor 36685 is prime.
Primes around the 3889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3886 | 36653 | 10 |
| 3887 | 36671 | 18 |
| 3888 | 36677 | 6 |
| 3889 | 36683 | 6 |
| 3890 | 36691 | 8 |
| 3891 | 36697 | 6 |
| 3892 | 36709 | 12 |
Questions
What is the 3889th prime number?
36683.
Which prime number is 36683?
36683 is the 3889th prime number.
What is the sum of the first 3889 primes?
67,133,928.