What is the 262nd prime number?
The 262nd prime number is 1667. The next prime is 1669 (a gap of 2) and the one before is 1663.
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 262nd one is 1667.
- 2
1667 is prime because no prime up to ā1667 ā 40.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 262nd prime is close to 262 Ć ln(262) ā 1459, and here it is 1667.
- 4
1667 is a twin prime: 1667 and 1669 are both prime.
Primes around the 262nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 259 | 1637 | 10 |
| 260 | 1657 | 20 |
| 261 | 1663 | 6 |
| 262 | 1667 | 4 |
| 263 | 1669 | 2 |
| 264 | 1693 | 24 |
| 265 | 1697 | 4 |
Questions
What is the 262nd prime number?
1667.
Which prime number is 1667?
1667 is the 262nd prime number.
What is the sum of the first 262 primes?
201,627.