What is the 3706th prime number?
The 3706th prime number is 34693. The next prime is 34703 (a gap of 10) and the one before is 34687.
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 3706th one is 34693.
- 2
34693 is prime because no prime up to ā34693 ā 186.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3706th prime is close to 3706 Ć ln(3706) ā 30455, and here it is 34693.
- 4
34693 has no twin: neither 34691 nor 34695 is prime.
Primes around the 3706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3703 | 34673 | 6 |
| 3704 | 34679 | 6 |
| 3705 | 34687 | 8 |
| 3706 | 34693 | 6 |
| 3707 | 34703 | 10 |
| 3708 | 34721 | 18 |
| 3709 | 34729 | 8 |
Questions
What is the 3706th prime number?
34693.
Which prime number is 34693?
34693 is the 3706th prime number.
What is the sum of the first 3706 primes?
60,599,255.