What is the 3892nd prime number?
The 3892nd prime number is 36709. The next prime is 36713 (a gap of 4) and the one before is 36697.
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 3892nd one is 36709.
- 2
36709 is prime because no prime up to ā36709 ā 191.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3892nd prime is close to 3892 Ć ln(3892) ā 32174, and here it is 36709.
- 4
36709 has no twin: neither 36707 nor 36711 is prime.
Primes around the 3892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3889 | 36683 | 6 |
| 3890 | 36691 | 8 |
| 3891 | 36697 | 6 |
| 3892 | 36709 | 12 |
| 3893 | 36713 | 4 |
| 3894 | 36721 | 8 |
| 3895 | 36739 | 18 |
Questions
What is the 3892nd prime number?
36709.
Which prime number is 36709?
36709 is the 3892nd prime number.
What is the sum of the first 3892 primes?
67,244,025.