What is the 1609th prime number?
The 1609th prime number is 13613. The next prime is 13619 (a gap of 6) and the one before is 13597.
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 1609th one is 13613.
- 2
13613 is prime because no prime up to ā13613 ā 116.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1609th prime is close to 1609 Ć ln(1609) ā 11880, and here it is 13613.
- 4
13613 has no twin: neither 13611 nor 13615 is prime.
Primes around the 1609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1606 | 13577 | 10 |
| 1607 | 13591 | 14 |
| 1608 | 13597 | 6 |
| 1609 | 13613 | 16 |
| 1610 | 13619 | 6 |
| 1611 | 13627 | 8 |
| 1612 | 13633 | 6 |
Questions
What is the 1609th prime number?
13613.
Which prime number is 13613?
13613 is the 1609th prime number.
What is the sum of the first 1609 primes?
10,221,260.