What is the 3704th prime number?
The 3704th prime number is 34679. The next prime is 34687 (a gap of 8) and the one before is 34673.
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 3704th one is 34679.
- 2
34679 is prime because no prime up to ā34679 ā 186.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3704th prime is close to 3704 Ć ln(3704) ā 30436, and here it is 34679.
- 4
34679 has no twin: neither 34677 nor 34681 is prime.
Primes around the 3704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3701 | 34651 | 2 |
| 3702 | 34667 | 16 |
| 3703 | 34673 | 6 |
| 3704 | 34679 | 6 |
| 3705 | 34687 | 8 |
| 3706 | 34693 | 6 |
| 3707 | 34703 | 10 |
Questions
What is the 3704th prime number?
34679.
Which prime number is 34679?
34679 is the 3704th prime number.
What is the sum of the first 3704 primes?
60,529,875.