What is the 3890th prime number?
The 3890th prime number is 36691. The next prime is 36697 (a gap of 6) and the one before is 36683.
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 3890th one is 36691.
- 2
36691 is prime because no prime up to ā36691 ā 191.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3890th prime is close to 3890 Ć ln(3890) ā 32155, and here it is 36691.
- 4
36691 has no twin: neither 36689 nor 36693 is prime.
Primes around the 3890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3887 | 36671 | 18 |
| 3888 | 36677 | 6 |
| 3889 | 36683 | 6 |
| 3890 | 36691 | 8 |
| 3891 | 36697 | 6 |
| 3892 | 36709 | 12 |
| 3893 | 36713 | 4 |
Questions
What is the 3890th prime number?
36691.
Which prime number is 36691?
36691 is the 3890th prime number.
What is the sum of the first 3890 primes?
67,170,619.