What is the 3703rd prime number?
The 3703rd prime number is 34673. The next prime is 34679 (a gap of 6) and the one before is 34667.
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 3703rd one is 34673.
- 2
34673 is prime because no prime up to ā34673 ā 186.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3703rd prime is close to 3703 Ć ln(3703) ā 30427, and here it is 34673.
- 4
34673 has no twin: neither 34671 nor 34675 is prime.
Primes around the 3703rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3700 | 34649 | 18 |
| 3701 | 34651 | 2 |
| 3702 | 34667 | 16 |
| 3703 | 34673 | 6 |
| 3704 | 34679 | 6 |
| 3705 | 34687 | 8 |
| 3706 | 34693 | 6 |
Questions
What is the 3703rd prime number?
34673.
Which prime number is 34673?
34673 is the 3703rd prime number.
What is the sum of the first 3703 primes?
60,495,196.