What is the 1672nd prime number?
The 1672nd prime number is 14221. The next prime is 14243 (a gap of 22) and the one before is 14207.
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 1672nd one is 14221.
- 2
14221 is prime because no prime up to ā14221 ā 119.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1672nd prime is close to 1672 Ć ln(1672) ā 12409, and here it is 14221.
- 4
14221 has no twin: neither 14219 nor 14223 is prime.
Primes around the 1672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1669 | 14177 | 4 |
| 1670 | 14197 | 20 |
| 1671 | 14207 | 10 |
| 1672 | 14221 | 14 |
| 1673 | 14243 | 22 |
| 1674 | 14249 | 6 |
| 1675 | 14251 | 2 |
Questions
What is the 1672nd prime number?
14221.
Which prime number is 14221?
14221 is the 1672nd prime number.
What is the sum of the first 1672 primes?
11,096,789.