What is the 1608th prime number?
The 1608th prime number is 13597. The next prime is 13613 (a gap of 16) and the one before is 13591.
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 1608th one is 13597.
- 2
13597 is prime because no prime up to ā13597 ā 116.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1608th prime is close to 1608 Ć ln(1608) ā 11871, and here it is 13597.
- 4
13597 has no twin: neither 13595 nor 13599 is prime.
Primes around the 1608th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1605 | 13567 | 14 |
| 1606 | 13577 | 10 |
| 1607 | 13591 | 14 |
| 1608 | 13597 | 6 |
| 1609 | 13613 | 16 |
| 1610 | 13619 | 6 |
| 1611 | 13627 | 8 |
Questions
What is the 1608th prime number?
13597.
Which prime number is 13597?
13597 is the 1608th prime number.
What is the sum of the first 1608 primes?
10,207,647.