What is the 1665th prime number?
The 1665th prime number is 14149. The next prime is 14153 (a gap of 4) and the one before is 14143.
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 1665th one is 14149.
- 2
14149 is prime because no prime up to ā14149 ā 118.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1665th prime is close to 1665 Ć ln(1665) ā 12350, and here it is 14149.
- 4
14149 has no twin: neither 14147 nor 14151 is prime.
Primes around the 1665th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1662 | 14087 | 4 |
| 1663 | 14107 | 20 |
| 1664 | 14143 | 36 |
| 1665 | 14149 | 6 |
| 1666 | 14153 | 4 |
| 1667 | 14159 | 6 |
| 1668 | 14173 | 14 |
Questions
What is the 1665th prime number?
14149.
Which prime number is 14149?
14149 is the 1665th prime number.
What is the sum of the first 1665 primes?
10,997,502.