What is the 1666th prime number?
The 1666th prime number is 14153. The next prime is 14159 (a gap of 6) and the one before is 14149.
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 1666th one is 14153.
- 2
14153 is prime because no prime up to ā14153 ā 118.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1666th prime is close to 1666 Ć ln(1666) ā 12359, and here it is 14153.
- 4
14153 has no twin: neither 14151 nor 14155 is prime.
Primes around the 1666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1663 | 14107 | 20 |
| 1664 | 14143 | 36 |
| 1665 | 14149 | 6 |
| 1666 | 14153 | 4 |
| 1667 | 14159 | 6 |
| 1668 | 14173 | 14 |
| 1669 | 14177 | 4 |
Questions
What is the 1666th prime number?
14153.
Which prime number is 14153?
14153 is the 1666th prime number.
What is the sum of the first 1666 primes?
11,011,655.