What is the 1701st prime number?
The 1701st prime number is 14533. The next prime is 14537 (a gap of 4) and the one before is 14519.
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 1701st one is 14533.
- 2
14533 is prime because no prime up to ā14533 ā 120.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1701st prime is close to 1701 Ć ln(1701) ā 12654, and here it is 14533.
- 4
14533 has no twin: neither 14531 nor 14535 is prime.
Primes around the 1701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1698 | 14489 | 10 |
| 1699 | 14503 | 14 |
| 1700 | 14519 | 16 |
| 1701 | 14533 | 14 |
| 1702 | 14537 | 4 |
| 1703 | 14543 | 6 |
| 1704 | 14549 | 6 |
Questions
What is the 1701st prime number?
14533.
Which prime number is 14533?
14533 is the 1701st prime number.
What is the sum of the first 1701 primes?
11,514,022.