What is the 1602nd prime number?
The 1602nd prime number is 13523. The next prime is 13537 (a gap of 14) and the one before is 13513.
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 1602nd one is 13523.
- 2
13523 is prime because no prime up to ā13523 ā 116.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1602nd prime is close to 1602 Ć ln(1602) ā 11821, and here it is 13523.
- 4
13523 has no twin: neither 13521 nor 13525 is prime.
Primes around the 1602nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1599 | 13487 | 10 |
| 1600 | 13499 | 12 |
| 1601 | 13513 | 14 |
| 1602 | 13523 | 10 |
| 1603 | 13537 | 14 |
| 1604 | 13553 | 16 |
| 1605 | 13567 | 14 |
Questions
What is the 1602nd prime number?
13523.
Which prime number is 13523?
13523 is the 1602nd prime number.
What is the sum of the first 1602 primes?
10,126,225.