What is the 3698th prime number?
The 3698th prime number is 34613. The next prime is 34631 (a gap of 18) and the one before is 34607.
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 3698th one is 34613.
- 2
34613 is prime because no prime up to ā34613 ā 186.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3698th prime is close to 3698 Ć ln(3698) ā 30381, and here it is 34613.
- 4
34613 has no twin: neither 34611 nor 34615 is prime.
Primes around the 3698th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3695 | 34591 | 2 |
| 3696 | 34603 | 12 |
| 3697 | 34607 | 4 |
| 3698 | 34613 | 6 |
| 3699 | 34631 | 18 |
| 3700 | 34649 | 18 |
| 3701 | 34651 | 2 |
Questions
What is the 3698th prime number?
34613.
Which prime number is 34613?
34613 is the 3698th prime number.
What is the sum of the first 3698 primes?
60,321,925.