What is the 1606th prime number?
The 1606th prime number is 13577. The next prime is 13591 (a gap of 14) and the one before is 13567.
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 1606th one is 13577.
- 2
13577 is prime because no prime up to ā13577 ā 116.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1606th prime is close to 1606 Ć ln(1606) ā 11855, and here it is 13577.
- 4
13577 has no twin: neither 13575 nor 13579 is prime.
Primes around the 1606th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1603 | 13537 | 14 |
| 1604 | 13553 | 16 |
| 1605 | 13567 | 14 |
| 1606 | 13577 | 10 |
| 1607 | 13591 | 14 |
| 1608 | 13597 | 6 |
| 1609 | 13613 | 16 |
Questions
What is the 1606th prime number?
13577.
Which prime number is 13577?
13577 is the 1606th prime number.
What is the sum of the first 1606 primes?
10,180,459.