What is the 3891st prime number?
The 3891st prime number is 36697. The next prime is 36709 (a gap of 12) and the one before is 36691.
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 3891st one is 36697.
- 2
36697 is prime because no prime up to ā36697 ā 191.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3891st prime is close to 3891 Ć ln(3891) ā 32165, and here it is 36697.
- 4
36697 has no twin: neither 36695 nor 36699 is prime.
Primes around the 3891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3888 | 36677 | 6 |
| 3889 | 36683 | 6 |
| 3890 | 36691 | 8 |
| 3891 | 36697 | 6 |
| 3892 | 36709 | 12 |
| 3893 | 36713 | 4 |
| 3894 | 36721 | 8 |
Questions
What is the 3891st prime number?
36697.
Which prime number is 36697?
36697 is the 3891st prime number.
What is the sum of the first 3891 primes?
67,207,316.