What is the 1671st prime number?
The 1671st prime number is 14207. The next prime is 14221 (a gap of 14) and the one before is 14197.
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 1671st one is 14207.
- 2
14207 is prime because no prime up to ā14207 ā 119.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1671st prime is close to 1671 Ć ln(1671) ā 12401, and here it is 14207.
- 4
14207 has no twin: neither 14205 nor 14209 is prime.
Primes around the 1671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1668 | 14173 | 14 |
| 1669 | 14177 | 4 |
| 1670 | 14197 | 20 |
| 1671 | 14207 | 10 |
| 1672 | 14221 | 14 |
| 1673 | 14243 | 22 |
| 1674 | 14249 | 6 |
Questions
What is the 1671st prime number?
14207.
Which prime number is 14207?
14207 is the 1671st prime number.
What is the sum of the first 1671 primes?
11,082,568.