What is the 3893rd prime number?
The 3893rd prime number is 36713. The next prime is 36721 (a gap of 8) and the one before is 36709.
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 3893rd one is 36713.
- 2
36713 is prime because no prime up to ā36713 ā 191.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3893rd prime is close to 3893 Ć ln(3893) ā 32183, and here it is 36713.
- 4
36713 has no twin: neither 36711 nor 36715 is prime.
Primes around the 3893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3890 | 36691 | 8 |
| 3891 | 36697 | 6 |
| 3892 | 36709 | 12 |
| 3893 | 36713 | 4 |
| 3894 | 36721 | 8 |
| 3895 | 36739 | 18 |
| 3896 | 36749 | 10 |
Questions
What is the 3893rd prime number?
36713.
Which prime number is 36713?
36713 is the 3893rd prime number.
What is the sum of the first 3893 primes?
67,280,738.