What is the 1702nd prime number?
The 1702nd prime number is 14537. The next prime is 14543 (a gap of 6) and the one before is 14533.
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 1702nd one is 14537.
- 2
14537 is prime because no prime up to ā14537 ā 120.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1702nd prime is close to 1702 Ć ln(1702) ā 12662, and here it is 14537.
- 4
14537 has no twin: neither 14535 nor 14539 is prime.
Primes around the 1702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1699 | 14503 | 14 |
| 1700 | 14519 | 16 |
| 1701 | 14533 | 14 |
| 1702 | 14537 | 4 |
| 1703 | 14543 | 6 |
| 1704 | 14549 | 6 |
| 1705 | 14551 | 2 |
Questions
What is the 1702nd prime number?
14537.
Which prime number is 14537?
14537 is the 1702nd prime number.
What is the sum of the first 1702 primes?
11,528,559.