What is the 3699th prime number?
The 3699th prime number is 34631. The next prime is 34649 (a gap of 18) and the one before is 34613.
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 3699th one is 34631.
- 2
34631 is prime because no prime up to ā34631 ā 186.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3699th prime is close to 3699 Ć ln(3699) ā 30390, and here it is 34631.
- 4
34631 has no twin: neither 34629 nor 34633 is prime.
Primes around the 3699th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3696 | 34603 | 12 |
| 3697 | 34607 | 4 |
| 3698 | 34613 | 6 |
| 3699 | 34631 | 18 |
| 3700 | 34649 | 18 |
| 3701 | 34651 | 2 |
| 3702 | 34667 | 16 |
Questions
What is the 3699th prime number?
34631.
Which prime number is 34631?
34631 is the 3699th prime number.
What is the sum of the first 3699 primes?
60,356,556.