What is the 3702nd prime number?
The 3702nd prime number is 34667. The next prime is 34673 (a gap of 6) and the one before is 34651.
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 3702nd one is 34667.
- 2
34667 is prime because no prime up to ā34667 ā 186.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3702nd prime is close to 3702 Ć ln(3702) ā 30418, and here it is 34667.
- 4
34667 has no twin: neither 34665 nor 34669 is prime.
Primes around the 3702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3699 | 34631 | 18 |
| 3700 | 34649 | 18 |
| 3701 | 34651 | 2 |
| 3702 | 34667 | 16 |
| 3703 | 34673 | 6 |
| 3704 | 34679 | 6 |
| 3705 | 34687 | 8 |
Questions
What is the 3702nd prime number?
34667.
Which prime number is 34667?
34667 is the 3702nd prime number.
What is the sum of the first 3702 primes?
60,460,523.