What is the 1604th prime number?
The 1604th prime number is 13553. The next prime is 13567 (a gap of 14) and the one before is 13537.
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 1604th one is 13553.
- 2
13553 is prime because no prime up to ā13553 ā 116.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1604th prime is close to 1604 Ć ln(1604) ā 11838, and here it is 13553.
- 4
13553 has no twin: neither 13551 nor 13555 is prime.
Primes around the 1604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1601 | 13513 | 14 |
| 1602 | 13523 | 10 |
| 1603 | 13537 | 14 |
| 1604 | 13553 | 16 |
| 1605 | 13567 | 14 |
| 1606 | 13577 | 10 |
| 1607 | 13591 | 14 |
Questions
What is the 1604th prime number?
13553.
Which prime number is 13553?
13553 is the 1604th prime number.
What is the sum of the first 1604 primes?
10,153,315.