What is the 1605th prime number?
The 1605th prime number is 13567. The next prime is 13577 (a gap of 10) and the one before is 13553.
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 1605th one is 13567.
- 2
13567 is prime because no prime up to ā13567 ā 116.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1605th prime is close to 1605 Ć ln(1605) ā 11846, and here it is 13567.
- 4
13567 has no twin: neither 13565 nor 13569 is prime.
Primes around the 1605th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1602 | 13523 | 10 |
| 1603 | 13537 | 14 |
| 1604 | 13553 | 16 |
| 1605 | 13567 | 14 |
| 1606 | 13577 | 10 |
| 1607 | 13591 | 14 |
| 1608 | 13597 | 6 |
Questions
What is the 1605th prime number?
13567.
Which prime number is 13567?
13567 is the 1605th prime number.
What is the sum of the first 1605 primes?
10,166,882.